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Part A:- Synthesising a Discrete Signal using Matlab: Using a sampling frequency of 8000 Hz, determine...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
3) Develop Matlab code to plots of chirp signal and its FFT (sampling frequency-500 Hz, duration: 1 second, length of FFT 1024). Explain what chirp signal is and how it is using in industry 3) Develop Matlab code to plots of chirp signal and its FFT (sampling frequency-500 Hz, duration: 1 second, length of FFT 1024). Explain what chirp signal is and how it is using in industry
Write a MATLAB code for the question below. There is an initial signal containing 60 Hz sinusoid of amplitude 0.8 and a 150 Hz sinusoid of amplitude 1.2 corrupted by a noise - using the randn command - (zero-mean white noise with variance of 4). Plot the noisy signal in the time domain. After that compute the Fourier transform -using the fft command of the noisy signal, compute the two-sided spectrum. Define the frequency domain f and plot the single-sided...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
MATLAB Fourier transform. Suppose that a signal x(t) is sampled with sampling frequency fs =100Hz. The sequence x[n] obtained after the sampling is given below: Take the DFT of the sampled sequence and plot its magnitude and phase. What is the frequency resolution (Δf) of your plot? N= 20, 100 Hz N= 20, 100 Hz
ON MATLAB: ii. Using FIR low-pass filter, remove signal S2, considering fc = 20 Hz as a cut-off frequency and consider two sets of filter coefficients: 11 and 301. Plot the time and frequency domain of the filtered signal, and comment. the process x(n) is sum of two signals S1 and S2; mathematically be described as: ?(?) = ?1 + ?2 where ?1 = ?1cos(2??1??? ) and ?2 = ?2cos(2??2??? ), A1 = A2 = 1; f1 = 10Hz; f2 =...
matlab help, please my code is here: %% exercise2 %a Fs = 8000; % sampling frequency tn = 0:1/Fs:0.005; % here, bit duration is 0.005s instead of 1/300s phi1 = 0; phi0 = 0; % phases of the sinusoid x1 = cos(2*pi*1650*tn + phi1); % tone for binary 1 x0 = cos(2*pi*1850*tn + phi0); % tone for binary 0 xx = [x1, x0]; % FSK signal for ¡°1,0¡± tt = [tn, tn + 0.005]; % time figure(1) plot(tt, xx); %...
Program from problem 1: (Using MATLAB) % Sampling frequency and sampling period fs = 10000; ts = 1/fs; % Number of samples, assume 1000 samples l = 1000; t = 0:1:l-1; t = t.*ts; % Convert the sample index into time for generation and plotting of signal % Frequency and amplitude of the sensor f1 = 110; a1 = 1.0; % Frequency and amplitude of the power grid noise f2 = 60; a2 = 0.7; % Generating the sinusoidal waves...
Below is the MATLAB code of low-cut shelving filter which can cut the low frequency of given music signal and low-boost shelving filter which can boost the low frequency of given music signal. Design your low-boost shelving filter and low-cut shelving filter to have noticeablly different sound. Compare the sounds of two music signals after filtering, and explain the difference in sounds briefly. If there are any mistakes in code, correct them. Low-cut shelving filter code: close all, clear all,...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.