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.
Homework Answers
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1. Design a custom FIR band-pass filter using the Fourier series
and the Hanning window. The...
Design a high pass FIR filter to meet the following specifications. Provide all equations needed to...
Design a high pass FIR filter to meet the following specifications. Provide all equations needed to produce the filter's impulse response. Pass band: 14.66 - 22 kHz Stop band rejection: min 40 dB Pass band ripple: max. 5% Sampling frquency: 48 kHz Use either a Hamming, Hann or Kaiser window. Derive the first three filter coefficients.
design a FIR low-pass filter using the window method in MATLAB. Select an appropriate cutoff frequency...
design a FIR low-pass filter using the window method in MATLAB. Select an appropriate cutoff frequency (fc) to attenuate the 1 MHz signal
7.29. Design a 41-tap bandpass FIR filter with lower and upper cutoff frequencies of 2,500 Hz...
7.29. Design a 41-tap bandpass FIR filter with lower and upper cutoff frequencies of 2,500 Hz and 3,000 Hz, respectively, using the following window functions. Assume a sampling frequency of 8,000 Hz. a. Hanning window function b. Blackman window function. List the FIR filter coefficients and plot the frequency responses for each design. 7.30 Design a 41-tap band reject FIR filter with cutoff frequencies of 2,500 Hz and 3,000 Hz, respectively, using the Hamming window function. Assume a sampling frequency...
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....
Using the windowing function discussed in class, design a band pass FIR filter centered at 20 MHz...
Using the windowing function
discussed in class, design a band pass FIR filter centered at 20
MHz with bandwidth 30MHz..
3. Using the windowing functions discussed in class, design a band-pass FIR filter centered at 20 MHz with a bandwidth 30 MHz (), a minimum stop band attenuation of 30 dB, and a transition width of 1 MHz. The sampling frequency is 80 MHz,
3. Using the windowing functions discussed in class, design a band-pass FIR filter centered at 20...
1. Design a 10th-order lowpass FIR filter using the window method (fir1) to cut frequencies above...
1. Design a 10th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. 2. Plot the filter coefficients that define the filter (stem). 3. Plot the frequency response of the FIR filter designed (freqz) 4. Design a 100th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. Plot the filter coefficients that...
Implementing a 3-Band Equaliser
Design and implement a 3-band equaliser using a DSP board or MPLab/CSS. The MATLAB Filter Designer could be used for filter design and graphing subject to the design requirements given below. This is an individual CW 2. Equaliser Primer An n-band equaliser is a device used to correct the frequency response characteristic of a signal processing system. Equalisers can be implemented using digital or analogue filters. The whole bandwidth of the equaliser is divided into n frequency bands, which can...
Design a 31-tap highpass FIR filter whose cutoff frequency is 2,500 Hz using the following window...
Design a 31-tap highpass FIR filter whose cutoff frequency is 2,500 Hz using the following window functions. Assume that the sampling frequency is 8,000Hz. a. Hanning window function c. Blackman window function
1 Design a 4th order causal FIR bandpass filter with cutoff frequencies at 9 kHz and...
1 Design a 4th order causal FIR bandpass filter with cutoff frequencies at 9 kHz and 18kHz and sampling frequency of 54 kHz. Use a Blackman window. Give precise numerical values for the filter coefficients. The Blackman window has coefficients as shown below (you need choose one window among the three listed below so that a 4 order linear phase filter is designed. (Circle the one you choose). (35pts) Blackman window 1 O.2008 0.8492 0.8492 0.2008 Blackman window 2 0.1300...
In this problem, you are asked to design a length-16 FIR low-pass filter with cutoff frequency...
In
this problem, you are asked to design a length-16 FIR low-pass
filter with cutoff frequency ωc = π 2 radians, using the window
design method.
2. [FIR Filter Design) In this problem, you are asked to design a length-16 FIR low-pass filter with cutoff frequency We = radians, using the window design method. (a) Find an expression for the coefficients {hn}n using a truncation (rectangular) window. (b) Find an expression for the coefficients {n}=l using a Hamming window. (c)...
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....
Using the windowing function
discussed in class, design a band pass FIR filter centered at 20
MHz with bandwidth 30MHz..
3. Using the windowing functions discussed in class, design a band-pass FIR filter centered at 20 MHz with a bandwidth 30 MHz (), a minimum stop band attenuation of 30 dB, and a transition width of 1 MHz. The sampling frequency is 80 MHz,
3. Using the windowing functions discussed in class, design a band-pass FIR filter centered at 20...
1 Design a 4th order causal FIR bandpass filter with cutoff frequencies at 9 kHz and 18kHz and sampling frequency of 54 kHz. Use a Blackman window. Give precise numerical values for the filter coefficients. The Blackman window has coefficients as shown below (you need choose one window among the three listed below so that a 4 order linear phase filter is designed. (Circle the one you choose). (35pts) Blackman window 1 O.2008 0.8492 0.8492 0.2008 Blackman window 2 0.1300...
In
this problem, you are asked to design a length-16 FIR low-pass
filter with cutoff frequency ωc = π 2 radians, using the window
design method.
2. [FIR Filter Design) In this problem, you are asked to design a length-16 FIR low-pass filter with cutoff frequency We = radians, using the window design method. (a) Find an expression for the coefficients {hn}n using a truncation (rectangular) window. (b) Find an expression for the coefficients {n}=l using a Hamming window. (c)...
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