• Matlab Program For Dolph Chebyshev Array Worksheets Worksheet
• Matlab Program For Dolph Chebyshev Array Worksheets 1
• Side Lobe

The dimensions of rectangular patches in the planar array are chosen according to the Dolph-Chebyshev current distribution in order to minimize the side-lobe level ratio for a. Digital Chebyshev type II filter is initially designed analytically for the desired Specifications and simulated using Simulink in Matlab environment.

Suppose I have 4 letters and I want to arrange them in 3 places (repetition allowed), so I would have 4³=64 possible permutations. How can I compute and print them?

knedlsepp

4 Answers

Simplifying Amro's answer, you could use this:

Matrix y should store the permutations you're after.

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Eitan TEitan T

How about the function N_PERMUTE_K from the File Exchange?

Eitan T

An intuitive one-liner:

Although nice-looking, it's slow and inefficient. Don't use it for large data sets.

Rody OldenhuisRody Oldenhuis

Matlab Program For Dolph Chebyshev Array Worksheets Worksheet

Pseudocode solution:

Matlab Program For Dolph Chebyshev Array Worksheets 1

The actual Matlab code is left as an exercise for the student.

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Design a 6th-order lowpass Chebyshev Type I filter with 10 dB of passband ripple and a passband edge frequency of 300 Hz, which, for data sampled at 1000 Hz, corresponds to $$0.6\pi$$ rad/sample. Plot its magnitude and phase responses. Use it to filter a 1000-sample random signal.

Design a 6th-order Chebyshev Type I bandstop filter with normalized edge frequencies of $$0.2\pi$$ and $$0.6\pi$$ rad/sample and 5 dB of passband ripple. Plot its magnitude and phase responses. Use it to filter random data.

Design a 9th-order highpass Chebyshev Type I filter with 0.5 dB of passband ripple and a passband edge frequency of 300 Hz, which, for data sampled at 1000 Hz, corresponds to $$0.6\pi$$ rad/sample. Plot the magnitude and phase responses. Convert the zeros, poles, and gain to second-order sections for use by fvtool.

Design a 20th-order Chebyshev Type I bandpass filter with a lower passband frequency of 500 Hz and a higher passband frequency of 560 Hz. Specify a passband ripple of 3 dB and a sample rate of 1500 Hz. Use the state-space representation. Design an identical filter using designfilt.

Convert the state-space representation to second-order sections. Visualize the frequency responses using fvtool.

Design a 5th-order analog Butterworth lowpass filter with a cutoff frequency of 2 GHz. Multiply by $$2\pi$$ to convert the frequency to radians per second. Compute the frequency response of the filter at 4096 points.

Design a 5th-order Chebyshev Type I filter with the same edge frequency and 3 dB of passband ripple. Compute its frequency response.

Design a 5th-order Chebyshev Type II filter with the same edge frequency and 30 dB of stopband attenuation. Compute its frequency response.

Side Lobe

Design a 5th-order elliptic filter with the same edge frequency, 3 dB of passband ripple, and 30 dB of stopband attenuation. Compute its frequency response.

Plot the attenuation in decibels. Express the frequency in gigahertz. Compare the filters.

The Butterworth and Chebyshev Type II filters have flat passbands and wide transition bands. The Chebyshev Type I and elliptic filters roll off faster but have passband ripple. The frequency input to the Chebyshev Type II design function sets the beginning of the stopband rather than the end of the passband.