![]() Resistors R1 and RF determine the gain of the filter. The op amp used is in the non-inverting configuration. Analysis of 3rd order Low Pass Butterworth filter Figure 3 shows a 3rd order low pass Butterworth filter that uses an RC network for filtering. 70.7% corresponds to approximately 3 dB down from the maximum (3.01 dB to be exact). Figure 2: Poles of a Butterworth filter of order n 3. For your own verification pur- poses, check that the 70.7% frequency is consistent with the desired cutoff frequency. If and change by, then the attenuation reduces to 13 dB, as shown in Fig. With these values, dB is achieved, as shown in Fig. The filter function is shaped so as to attenuate some frequencies and enhance others. The first involves transforming the image into the frequency domain, multiplying it with the frequency filter function and re-transforming the result into the spatial domain. (7.53) Let an FONF be designed for, using, , s 0.9,, s 0.2,, ,, , and. An image can be filtered either in the frequency or in the spatial domain. Include a printout of your plot with your submission. Circuit for a fractional-order notch filter. Your answer to part (b) will help you here. Express your filter as a ratio of polynom als (i.e., not in factored form) where the highest-order term in the denominator has a unity coefficient c) Go into MATLAB and plot the Bode magnitude and phase response for this filter (see Assignment #3, Q1(f) for instructions on doing this plotting). convolve( s, h) As an application of this, I combine low-pass and high-pass filters in How to Create Simple Band-Pass and Band-Reject Filters. b) Write the transfer function H(s) of this filter. Applying the filter h to a signal s is done by convolution, as for the low-pass filter, and can again be as simple as writing the single line: s np. Draw the resulting circuit diagram and label all component values Show all of your supporting work. The two capacitors available have value 100 nF. Your design must use 4 operational amplifiers, 8 resistors and 3 capacitors. Your filter is to be constructed from only 1st-order active filter stages. Transcribed image text: (a) Design a 3rd-order active high-pass filter with a cutoff frequency of 2000 Hz and a passband gain of 12.
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