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.
The signal ?(?) = cos200?? + 0.25cos700?? is sampled at the rate of 400 samples per...
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...
A bandpass signal with carrier frequency 1482 Hz is a bandwidth of 154 Hz. This signal is mixed with a local oscillator output at the frequency 810 Hz, and then sampled with an ideal sampler. We is the minimum time between samples that will allow the full signal output by the mixer to be reconstructed from its samples using an appropriate low pass filter? State your answer in milliseconds to two decimal places. A bandpass signal with carrier frequency 1482...
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) The spectrum of a signal m() is shown in Fig.Q1. This signal is ideally sampled using train of impulses. MIn -3k 3 f Fig.Q1 a) Sketch the spectrum of the sampled signal gs() when i) f, = 7 kHz. ii) f, equals the Nyquist rate b) The sampled signal is passed through an ideal low-pass filter LPF which is band-limited to 3 kHz. Sketch the spectrum of the output signal for each of the three sampling rates given above.
(a) Sketch the spectrum of the signal r(t). Show the spectrum as a function of f in Hz For the rest of this problem, assume that the signal is sampled at a rate of fs 50 Hz. (b) Sketch the spectrum for the sampled signal rn). Your spectrum should be shown as a function of the normalized frequency over the interval-2π < -+2T. c) Write an equation for the sampled signal [n. (d) Suppose that the signal is reconstructed from...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1 kHz and passed through an ideal low-pass filter with a DC gain of 0.001 and a cutoff frequency of 500 Hz. Find the filter's output.
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...
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...
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)...
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be recovered by passing the samples through: a. a low-pass filter with cut-off frequency O b. an envelope detector c. a PLL Od. a high-pass filter with cut-off frequency