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). Clearly explain using appropriate spectral diagrams
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An analog signal, bandlimited to 10 Hz is corrupted by
high-frequency noise. The spectrum of the...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled...
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.
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
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)...
Write a MATLAB code for the question below. There is an initial signal containing 60 Hz...
Write a MATLAB code for the question below.
There is an initial signal containing 60 Hz sinusoid of amplitude 0.8 and a 150 Hz sinusoid of amplitude 1.2 corrupted by a noise - using the randn command - (zero-mean white noise with variance of 4). Plot the noisy signal in the time domain. After that compute the Fourier transform -using the fft command of the noisy signal, compute the two-sided spectrum. Define the frequency domain f and plot the single-sided...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Sho...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
If the frequency spectrum of an analog signal has a bandwidth of 500 Hz with the...
If the frequency spectrum of an analog signal has a bandwidth of 500 Hz with the lowest frequency at 100 Hz, what should be the sampling rate according to Nyquist theorem?
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Conve...
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Converter (ADC) b) An ADC has to be designed to convert voltages in the range from -5 V to +5 V, with a resolution below (better than) 1 mV. What is the minimum number of bits required to meet this design specification? An ADC has to be designed to convert input voltage signals with frequency c) components less than or equal o...
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Se...
Digital Signal Processing
DFT
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
Please do it in MATLAB program Record your voice signal in .mp3 format for 2 second...
Please do it in MATLAB program
Record your voice signal in .mp3 format for 2 second duration and 8kHz sample frequency. Add a coloured noise with center frequency at 4KHz, assume the SNR =-5 dB. Design a FIR low pass filter (hamming) with cutoff frequency 3 KHz in Matlab and remove the noise, assume the sampling frequency same as the sampling frequency used for recording your voice and order of the filter as 15 a. Demonstrate the operation of the...
7.3. Design a 5-tap FIR lowpass filter with a cutoff frequency of 100 Hz and a...
7.3. Design a 5-tap FIR lowpass filter with a cutoff frequency of 100 Hz and a sampling rate of 1,000 Hz using a a. rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for ?--0, ?/4, ?/2, 3r/4, and ? radians.
Recall the problem from lecture iavolving an information signal betweea (-100, 100) Iz and a noise...
Recall the problem from lecture iavolving an information signal betweea (-100, 100) Iz and a noise signal with positive spectrum between (500,700) Hz and negative spectrum between (-700-500) Hz. a) Suppose we want the reconstructed signal to equal the information signal. Suppose also that we would like to VIOLATE the Syquist criterion. If we can use a reconstruction ilter different than the ideal lowpass filter considered ia lecture, then find the minimum sampling frequency which violates Nyquist but still gives...
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.
Write a MATLAB code for the question below.
There is an initial signal containing 60 Hz sinusoid of amplitude 0.8 and a 150 Hz sinusoid of amplitude 1.2 corrupted by a noise - using the randn command - (zero-mean white noise with variance of 4). Plot the noisy signal in the time domain. After that compute the Fourier transform -using the fft command of the noisy signal, compute the two-sided spectrum. Define the frequency domain f and plot the single-sided...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
3. With the aid of a diagram, briefly explain th ing principle of a Successive a) Approximation Analog-to-Digital Converter (ADC) b) An ADC has to be designed to convert voltages in the range from -5 V to +5 V, with a resolution below (better than) 1 mV. What is the minimum number of bits required to meet this design specification? An ADC has to be designed to convert input voltage signals with frequency c) components less than or equal o...
Digital Signal Processing
DFT
Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
Please do it in MATLAB program
Record your voice signal in .mp3 format for 2 second duration and 8kHz sample frequency. Add a coloured noise with center frequency at 4KHz, assume the SNR =-5 dB. Design a FIR low pass filter (hamming) with cutoff frequency 3 KHz in Matlab and remove the noise, assume the sampling frequency same as the sampling frequency used for recording your voice and order of the filter as 15 a. Demonstrate the operation of the...
7.3. Design a 5-tap FIR lowpass filter with a cutoff frequency of 100 Hz and a sampling rate of 1,000 Hz using a a. rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for ?--0, ?/4, ?/2, 3r/4, and ? radians.
Recall the problem from lecture iavolving an information signal betweea (-100, 100) Iz and a noise signal with positive spectrum between (500,700) Hz and negative spectrum between (-700-500) Hz. a) Suppose we want the reconstructed signal to equal the information signal. Suppose also that we would like to VIOLATE the Syquist criterion. If we can use a reconstruction ilter different than the ideal lowpass filter considered ia lecture, then find the minimum sampling frequency which violates Nyquist but still gives...
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