21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
1. (50pt) NOTE: To get full mark, you are required to: (1) Plot sampled signals and fitered signals in the frequency domain, (e) Provide solution in time domain and (3 Provide the reasoning. HINT: Take notice on the height of the low pass filter for correct solutions A signal r(t)-cos(3rt) is sampled at a rate of f, samples per second. The sampled signal is then passed through an ideal low pass filter (LPF) with a cutoff frequency at 2 Hz...
Frequency multiplication. Sample x(t) = cos 3πt at the rate of 4 Hz and send impulse samples through an ideal low-pass filter with the cutoff frequency at fc and gain = 1/4. Find and plot the Fourier transform of the reconstructed signal z(t) and its time expression for fc = 2, 3, 4, 5, 6 Hz.
The signal ?(?) = cos200?? + 0.25cos700?? is sampled at the rate of 400 samples per second. Sampled waveform is then passes through an ideal low pass filter with 200 Hz bandwidth. Write an expression for filter output. Sketch the frequency spectrum of sampled signal.
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
(a) Write an expression for the time-domain signal shown; (6) Find the Fourier transform of the signal; (c) If this signal is passed through an ideal lowpass filter with a cutoff frequency of 1 Hz, sketch the spectrum of the filter's output, including numerical labels on vertical and horizontal axes. g(t) 2 (s) Problem completed
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).