238 lines
7.6 KiB
Python
238 lines
7.6 KiB
Python
import logging
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import time
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from dataclasses import dataclass
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from datetime import datetime
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from pathlib import Path
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from typing import Iterator
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import numpy as np
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import numpy.typing as npt
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from where_fi.collection.protocols import CSIProducer, MergedCSI
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from where_fi.config import config
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C = 299_792_458
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MAX_DEPTH = 2
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LOSS_EXPONENT = 0.8
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logger = logging.getLogger(__name__)
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@dataclass
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class PathComponent:
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delay: float
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phase: float
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attenuation: float
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frequency: float
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class ChannelImpulseResponse:
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def __init__(self, path_components: list[PathComponent]) -> None:
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self.path_components = path_components
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@staticmethod
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def delayed(
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other: "ChannelImpulseResponse", delay: float, reflect: bool = False
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) -> "ChannelImpulseResponse":
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new_path_components: list[PathComponent] = []
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distance = delay * C
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for component in other.path_components:
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wavelength = C / component.frequency
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new_path_components.append(
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PathComponent(
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delay=component.delay + delay,
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phase=component.phase
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+ 2 * np.pi * component.frequency * delay
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+ (np.pi if reflect else 0),
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attenuation=component.attenuation
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* (np.exp(-distance * LOSS_EXPONENT)),
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frequency=component.frequency,
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)
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)
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return ChannelImpulseResponse(new_path_components)
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def __add__(self, other: "ChannelImpulseResponse") -> "ChannelImpulseResponse":
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return ChannelImpulseResponse(self.path_components + other.path_components)
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class Object:
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def __init__(self, x: float, y: float) -> None:
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self.x = x
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self.y = y
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self.cir = ChannelImpulseResponse([])
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def distance(self, other: "Object") -> float:
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return ((self.x - other.x) ** 2 + (self.y - other.y) ** 2) ** 0.5
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def reflect(
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self,
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incoming_cir: ChannelImpulseResponse,
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target: list["Object"],
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depth: int = 0,
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) -> None:
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self.cir = self.cir = self.cir + incoming_cir
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if depth > MAX_DEPTH:
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return
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for obj in target:
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if id(obj) == id(self):
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continue
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distance = self.distance(obj)
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assert distance > 0
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delay = distance / C
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obj.reflect(
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ChannelImpulseResponse.delayed(incoming_cir, delay, reflect=True),
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target,
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depth + 1,
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)
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class Transmitter(Object):
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def __init__(self, x: float, y: float) -> None:
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super().__init__(x, y)
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DELTA_T = 10
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GAMMA = np.pi / 4
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class Receiver(Object):
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def __init__(self, x: float, y: float, ideal: bool = True) -> None:
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super().__init__(x, y)
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self.delta_t = 0 if ideal else DELTA_T
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self.gamma = 0 if ideal else GAMMA
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def get_cfr(self) -> npt.NDArray[np.complex64]:
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"""
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Calculate the CSI matrix for this rx-tx pair. This is computed by the Fourier
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Transform of the Channel Impulse Response (CIR). The CIR is calculated as in
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[1], [2].
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To get the FT of the CIR, we use the sifting property of the Dirac delta
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[1] - https://tns.thss.tsinghua.edu.cn/wst/docs/pre
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[2] - https://dl.acm.org/doi/10.1145/2543581.2543592, Equation 4
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"""
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cfr = np.zeros(len(config.subcarrier_frequencies), dtype=np.complex64)
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for i_sub, subcarrier in enumerate(config.subcarrier_frequencies):
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cfr[i_sub] = sum(
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[
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component.attenuation
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* np.exp(1j * component.phase)
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* np.exp(-1j * subcarrier * component.delay)
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for component in self.cir.path_components
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]
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) * np.exp(
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1j
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* (
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2
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* np.pi
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* (i_sub / len(config.subcarrier_frequencies))
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* self.delta_t
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+ self.gamma
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)
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)
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return cfr
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class Environment:
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def __init__(self, objects: list[Object]) -> None:
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self.transmitters = [obj for obj in objects if isinstance(obj, Transmitter)]
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self.receivers = [obj for obj in objects if isinstance(obj, Receiver)]
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self.objects = [
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obj for obj in objects if obj not in self.transmitters + self.receivers
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]
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@staticmethod
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def from_config(filename: Path) -> "Environment":
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"""
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Read a config file that includes a scene description and create an envionment
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based on that
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The config file should be a text file where each line corresponds to an object.
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The first word of each line should be the type of object (TX/RX/OBJ), followed
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by the x and y coordinates of the object.
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"""
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objects: list[Object] = []
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with open(filename, "r") as f:
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for line in f.readlines():
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if line.startswith("#"):
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continue
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parts = line.split(" ")
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x, y = map(float, parts[1:])
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if parts[0] == "TX":
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objects.append(Transmitter(x, y))
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elif parts[0] == "RX":
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objects.append(Receiver(x, y))
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else:
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objects.append(Object(x, y))
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return Environment(objects)
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def get_csi(self) -> npt.NDArray[np.complex64]:
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"""
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Calculate the Channel State Information (CSI) matrix for the simulated
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environment.
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The returned matrix is of shape (num_subcarriers, num_receivers,
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num_transmitters)
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This is calculated by finding all paths leading to each receiver, and
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calculating the CFR evaluated at each subcarrier.
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"""
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csi = np.zeros(
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(
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len(config.subcarrier_frequencies),
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len(self.receivers),
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len(self.transmitters),
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),
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dtype=np.complex64,
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)
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for i_tx, transmitter in enumerate(self.transmitters):
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for obj in self.objects + self.receivers + self.transmitters:
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obj.cir = ChannelImpulseResponse([])
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transmitter.reflect(
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ChannelImpulseResponse(
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[
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PathComponent(
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delay=0,
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phase=0,
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# attenuation=100000000,
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attenuation=100,
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frequency=subcarrier,
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)
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for subcarrier in config.subcarrier_frequencies
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]
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),
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self.objects + self.receivers,
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)
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for i_rx, receiver in enumerate(self.receivers):
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logger.info(f"RX {i_rx} paths: {len(receiver.cir.path_components)}")
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csi[:, i_rx, i_tx] = receiver.get_cfr()
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return csi
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class SimulatedCSIProducer(CSIProducer):
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pass
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def __init__(self, environment: Environment) -> None:
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self.environment = environment
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def __call__(self) -> Iterator[MergedCSI]:
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while True:
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start = datetime.now()
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csi = self.environment.get_csi()
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yield MergedCSI(
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frames={},
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matrix=csi,
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)
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time.sleep(
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max(
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0,
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1 / config.collection_sample_rate
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- (datetime.now() - start).total_seconds(),
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)
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)
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