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. Problem 2: The signal (t) rect ) is first bandlimited with a low pass filter....
1. Given a signal xa(t) bandlimited to 50KHz. Design a digital low pass filter that can...
1. Given a signal xa(t) bandlimited to 50KHz. Design a digital low pass filter that can filter frequencies 1 above 12c = 2725000rad/s. Assume sampling period of T = s. 2 x 105
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be...
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
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate...
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
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to...
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to 1; write a MATLAB code to find and plot X(f), H(f) and the output of the filter Y(f), where x(t) is given below: x(t) -0.5 0.5 2- Apply the signal x(t) in the previous example to a HPF, BPF and BSF and draw the output signal Y(f). 3- Find and Plot the transfer function of BSF.
MUST BE IN MATLAB Design a low pass filter for this signal. Set the pass band...
MUST BE IN MATLAB Design a low pass filter for this signal. Set the pass band frequency to 4.9 GHz and the stop band frequency to 5.6 GHz. Allow for 1 dB of attenuation in the pass band and require at least 20 dB of attenuation in the stop band. a. First design a Butterworth filter. Use the command buttord() to determine the order and the normalizing frequency for the filter. Use [Num,Den]=butter() to determine the numerator and denominator coefficients...
Problem 4: Design a first-order, strictly causal, low-pass DT filter to recover a low frequency sensor signal, corr...
Problem 4: Design a first-order, strictly causal, low-pass DT filter to recover a low frequency sensor signal, corrupted by high frequency noise. The signal can contain frequencies up to 10HZ and the noise has frequencies above IkHz. The sampling frequency is 20kHz and you may assume that there is no aliasing. If the highest distortion allowed for the signal is 1% in amplitude, what is the worst-case attenuation of the noise signal?
Problem 4: Design a first-order, strictly causal, low-pass...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sa...
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sampled at the rate of fs400 Hz, show the resulting spectrum of the ideally sampled signal. (b) If we attempt to reconstruct gi (t) from the samples in Part (a), what will be the recovered analog signal in both time and frequency domains? (c) Determine another analog signal G2(f) in frequency domain such that its samples at = 400 Hz will lead to the same...
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the...
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)....
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
1. Given a signal xa(t) bandlimited to 50KHz. Design a digital low pass filter that can filter frequencies 1 above 12c = 2725000rad/s. Assume sampling period of T = s. 2 x 105
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
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
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to 1; write a MATLAB code to find and plot X(f), H(f) and the output of the filter Y(f), where x(t) is given below: x(t) -0.5 0.5 2- Apply the signal x(t) in the previous example to a HPF, BPF and BSF and draw the output signal Y(f). 3- Find and Plot the transfer function of BSF.
Problem 4: Design a first-order, strictly causal, low-pass DT filter to recover a low frequency sensor signal, corrupted by high frequency noise. The signal can contain frequencies up to 10HZ and the noise has frequencies above IkHz. The sampling frequency is 20kHz and you may assume that there is no aliasing. If the highest distortion allowed for the signal is 1% in amplitude, what is the worst-case attenuation of the noise signal?
Problem 4: Design a first-order, strictly causal, low-pass...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sampled at the rate of fs400 Hz, show the resulting spectrum of the ideally sampled signal. (b) If we attempt to reconstruct gi (t) from the samples in Part (a), what will be the recovered analog signal in both time and frequency domains? (c) Determine another analog signal G2(f) in frequency domain such that its samples at = 400 Hz will lead to the same...
The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
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