State the formula that relates the spectrum of the sampled signal to the analog signal spectrum
State the formula that relates the spectrum of the sampled signal to the analog signal spectrum
Given an analog signal ?? (?) = 10 cos(3500??) , ??? ? ≥ 0, sampled at a rate of 8 kHz. Determine the expression for the spectrum ?(?) of the sampled signal and plot the spectrum of the sampled signal. You can use MATLAB wvtool for spectrum plot. Is there any aliasing?
1. Given the spectrum X(f) of an analog signal x(t), sketch the spectrum of its sampled version x[n], assuming a sampling rate of 50, 40, and 30 Hz. (a) X()=rect(f/40) (b) X()=tri(f/20)
An analog signal is given as below x(t) = 10sin 4rtt The signal is sampled by two different frequencies f, = 1Hz, f, = 10Hz respectively, and the output are yı, Yz. (i) Sketch signal x(t) in the time domain. (3 marks) (ii) Sketch frequency spectrum of x(t). (3 marks) (iii) After sampling, the continuous signal is converted to a discrete signal. Draw the two discrete signals Yı, Y2: (4 marks) (iv) Discuss whether f1, f, can successfully sample the...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled at a rate of 8,000 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 frequneuencis f aliasing noise.
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the noise is from 30 Hz to 50 Hz. The noisy analog signal is sampled at 70 Hz. A digital lowpass filter is to be designed so as to remove the noise from the signal. For the filter design problem, what would you choose for the desired frequency response D(?)? Sketch the function for 0 ? ? ? ? where ? is normalized frequency (radians/sample)....
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
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.
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)...
2. a) A signal, g(t)-sinc(20nt), is uniformly sampled at a rate of (i) 15 Hz, (ii) 25 Hz. For each of these cases, sketch the spectrum of the sampled signal. b) Consider an analog signal,
Consider an analog signal x(t) = 2 cos(2π600t). The signal is sampled at a rate 3000 samples per second and 20 samples are saved to memory. Sketch the magnitude of the length 20 DFT of the sampled data. For credit, clearly label axes, and exactly sketch the magnitudes (if you connect points in a line drawing, rather than a “stem” plot, then clearly mark the points themselves).