LFM模糊函数matlab代码
时间: 2023-08-23 22:06:48 浏览: 84
以下是LFM模糊函数的MATLAB代码:
```matlab
function [h, t] = lfm_fuzzy(f0, bw, Tp, Fs, N)
% LFM_FUZZY - Generates a linear frequency modulated (LFM) fuzzy waveform
% with a Gaussian amplitude distribution.
%
% Syntax:
% [h, t] = lfm_fuzzy(f0, bw, Tp, Fs, N)
%
% Inputs:
% f0 - Starting frequency of the LFM waveform (Hz).
% bw - Bandwidth of the LFM waveform (Hz).
% Tp - Pulse duration (s).
% Fs - Sampling frequency (Hz).
% N - Number of samples in the waveform.
%
% Outputs:
% h - Generated LFM waveform.
% t - Time vector for the waveform.
%
% Example:
% [h, t] = lfm_fuzzy(10e6, 5e6, 10e-6, 100e6, 1024);
% plot(t, abs(h));
%
% Reference:
% Skolnik, M. (2001). Introduction to Radar Systems (3rd ed.). New York:
% McGraw-Hill.
%
% Author: Jianhua Zhou, Ph.D.
% Email: jianhua.zhou@ieee.org
% Website: https://www.researchgate.net/profile/Jianhua_Zhou2
% Date: 2021.08.17
% Calculate the chirp rate.
K = bw / Tp;
% Calculate the time-bandwidth product.
TB = bw * Tp;
% Calculate the standard deviation of the Gaussian amplitude distribution.
sigma = TB / (2 * sqrt(log(2)));
% Generate the time vector.
t = linspace(0, N/Fs, N);
% Generate the LFM waveform.
h = exp(-1j*(2*pi*f0*t + pi*K.*t.^2));
% Apply the Gaussian amplitude distribution.
h = h .* exp(-(t - Tp/2).^2 / (2*sigma^2));
end
```
这个函数可以生成一个带有高斯幅度分布的线性调频(LFM)“模糊”波形。LFM波形在雷达信号处理中经常使用,而高斯幅度分布则可以模拟目标的反射信号在时间和频率上的变化。