Q7) A frequency of 46 kHz is higher than the normal audible range of 20 Hz to 20 kHz for a human ...
just looking for #2, 3, and 4 Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
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 =...
a) Derive the frequency domain representation X() of a band-limited signal r(t) that has been uniformly sampled in time to become r(n). b) Derive the expression of the reconstructed signal r(t) from the discrete time signal (n). Show all steps in detail: the sampling/reconstruction functions and processes both in the time and the frequency domain a) Derive the frequency domain representation X() of a band-limited signal r(t) that has been uniformly sampled in time to become r(n). b) Derive the...
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).
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t) at 6 kHz. The digital is filter described by y(n) -x(n) + 0.8y(n -1) Find an expression for the steady state output if x(t) -3sin(2mft) with f 200 Hz? Hint: evaluate the filter's frequency response at the discrete time frequency corresponding to 200 Hz. (12 points) Anti-alias filter Sample A/D Digital Filter
Part A:- Synthesising a Discrete Signal using Matlab: Using a sampling frequency of 8000 Hz, determine the discrete signal, x[n] that is obtained from sampling a 1000 Hz sine wave, with a peak magnitude of 0.8. (that is, x(t)-0.8cos(2rtft)). Determine an equation for xin] in terms of 'n' and then create the signal in Matlab. (Remember in this case 'n' is your independent variable not t'.) Play the x[n] signal through the PC soundcard using the 'sound' command in Matlab....
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
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...
Please explain why. Thank you. (5%) The following signals r t) is sanpled periodically to obtained the discrete-time signal [n. For each of the given sampling rates in F, Hz or in T period, (i) determine the spectrum x(eM) of x[n]; (ii) plot its magnitude and phase as a function of w in and as a function of sampling frequency Fs in HZ; and (iii explain whether e(t) can be recovered from rn] (a) re(t) 8 +12e-3207e-j0(+), with sampling rate...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...