GPR 子波一阶微分高斯脉冲和Ricker子波

news2024/11/19 23:24:36

gprMAX仿真时用ricker子波，被审稿人咨询为什么用ricker波？

咨询了GPR设计专家，地耦雷达会用一阶高斯微分，空藕用ricker子波。实际上，我们都么有考虑这个。

给出matlab绘制代码

1 高斯脉冲

1.1 代码

% Parameters
amplitude = 1;          % Amplitude of the pulses
pulse_width = 0.1;      % Width of the pulses
center = 0;             % Center position of the pulses
sampling_rate = 1000;   % Number of samples per unit time

% Time axis
t = -2:1/sampling_rate:2;

% Gaussian pulse definition
gaussian_pulse = amplitude * exp(-((t-center)/pulse_width).^2);

% First-order Gaussian differential pulse definition
gaussian_diff_1 = 2 * (t-center) .* gaussian_pulse / pulse_width^2;

% Second-order Gaussian differential pulse definition
gaussian_diff_2 = 2 * ((t-center).^2 / pulse_width^2 - 1) .* gaussian_pulse / pulse_width^2;

% Plotting the pulses
figure
subplot(3,1,1)
plot(t, gaussian_pulse);
xlabel('Time');
ylabel('Amplitude');
title('Gaussian Pulse');
xlim([-1 1])
subplot(3,1,2)
plot(t, gaussian_diff_1);
xlabel('Time');
ylabel('Amplitude');
title('First-Order Gaussian Differential Pulse');
xlim([-1 1])
subplot(3,1,3)
plot(t, gaussian_diff_2);
xlabel('Time');
ylabel('Amplitude');
title('Second-Order Gaussian Differential Pulse');
xlim([-1 1])

1.2 结果

2 Ricker子波

2.1 代码

% Parameters
amplitude = 1;          % Amplitude of the wavelet
frequency = 10;         % Frequency of the wavelet
time_duration = 0.2;    % Duration of the wavelet
time_offset = 0;        % Time offset of the wavelet
sampling_rate = 1000;   % Number of samples per unit time

% Time axis
t = -2:1/sampling_rate:2;

% Ricker wavelet definition
ricker_wavelet = amplitude * (1 - 2*pi^2*(frequency*(t-time_offset)).^2) .* exp(-pi^2*(frequency*(t-time_offset)).^2);

% Plotting the wavelet
figure
plot(t, ricker_wavelet);
xlabel('Time');
ylabel('Amplitude');
title('Ricker Wavelet');
xlim([-1 1])