A signal sampled at 10 kHz needs to be low-pass filtered to pass frequencies below 1...
- A signal sampled at 10 kHz needs to be low-pass filtered to
pass frequencies below 1 kHz and attenuate frequencies above 1.5
kHz with attenuation level of 0.01% (i.e., by a factor 0.000.
Maximum passband ripple allowed is 0.1 dB. Use an FIR filter.
- Indicate if windowing is need and if so, choose an appropriate window.
- How many taps are needed?
- What are the values of the FIR filter at center tap and the ones next to the center tap (i.e., b(M-1), b(M) and b(M+1) assuming there are 2M + 1 taps)?
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A signal sampled at 10 kHz needs to be low-pass filtered to
pass frequencies below 1...
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff freq...
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design...
0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design a causal linear-phase DT lowpass FIR filter with no more than 1 dB passband ripple at 16kHz, at least 50dB of attenuation at 20kHz, sampling rate of 400 kHz. Choose one of the windows in the table in Fig. 2. Select an even filter order...
Design a low-pass filter (LPF) has pass-band frequency fP = 100 kHz, maximum attenuation in passband Amax = 2 dB, stop-band frequency fS = 120 kHz, minimum attenuation in stop-band Amin = 60 dB.
Design a low-pass filter (LPF) has pass-band frequency fP = 100 kHz, maximum attenuation in passband Amax
= 2 dB, stop-band frequency fS = 120 kHz, minimum attenuation in stop-band Amin = 60 dB. a/ Calculate the minimum order N for Chebyshev filter and the corresponding minimum stop-band
attenuation? b/ Calculate the minimum order N of low-pass B
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...
3.)I need a low pass filter that meets the following specification: o Frequencies below 150 kHz s...
3.)I need a low pass filter that meets the following specification: o Frequencies below 150 kHz should have a gain between 0 dB and -8 dB. o Frequencies above 500 kHz should be attenuated by at least 23 dB (gain of -23 dB or lower). Will a first order filter be able to do this? If so, what do you suggest I use for the 3 dB frequency?
3.)I need a low pass filter that meets the following specification: o...
1. Design a custom FIR band-pass filter using the Fourier series and the Hanning window. The...
1. Design a custom FIR band-pass filter using the Fourier series and the Hanning window. The filter should be of order 8. We need to pass the signal in two audio bands 400-1600Hz and 4000-8000Hz and attenuate it elsewhere. The sampling frequency is 20 kHz. a) Calculate with pencil and paper the impulse response of the filter and the numerical values of the coefficients.
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. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0...
1. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0.3m ωs-0.4m, δp-0.01, and δ,-0.005. Use Kaiser's formula 4. Consider the design of a windowed FIR lowpass filter corresponding to the specifications given in problem #1. Determine its length if Hann, Hamming, and Blackman windows are used. Hint: refer to Equation 10.36 and Table 10.2 of the textbook. 5. With reference to the specifications in problem #1, consider the design of an FIR lowpass filter...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume any arbitrary spectrum for this signal. (Note that this signals also has frequencies from 0 to \(-10 \mathrm{KHz} .)\) a) Draw the frequency spectrum of the signal after it has been sampled with a sampling frequency \(\mathrm{F}_{\mathrm{s}}=25 \mathrm{kHz}\) b) What range of sampling frequencies allows exact reconstruction of this signal from its samples? c) How is the original signal reconstructed from the sampled signal?...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
0.09 Rect Bartlett Hann 21 26 0.0063 44 amming0.0022 53 74 M+1 M1 +1 M+1 0.05 12π ckman0.0002 Figure 2: The characteristics of the window types. . FIR filter design Using the windowing method, design a causal linear-phase DT lowpass FIR filter with no more than 1 dB passband ripple at 16kHz, at least 50dB of attenuation at 20kHz, sampling rate of 400 kHz. Choose one of the windows in the table in Fig. 2. Select an even filter order...
3.)I need a low pass filter that meets the following specification: o Frequencies below 150 kHz should have a gain between 0 dB and -8 dB. o Frequencies above 500 kHz should be attenuated by at least 23 dB (gain of -23 dB or lower). Will a first order filter be able to do this? If so, what do you suggest I use for the 3 dB frequency?
3.)I need a low pass filter that meets the following specification: o...
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. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0.3m ωs-0.4m, δp-0.01, and δ,-0.005. Use Kaiser's formula 4. Consider the design of a windowed FIR lowpass filter corresponding to the specifications given in problem #1. Determine its length if Hann, Hamming, and Blackman windows are used. Hint: refer to Equation 10.36 and Table 10.2 of the textbook. 5. With reference to the specifications in problem #1, consider the design of an FIR lowpass filter...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
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