If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a low pass filter with a pass band 10 rad/sec?

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Digital Filters Design topics include: The design of low pass butterworth filters and chebyshev filters, bilinear transformations, filter coefficient quantization, design considerations for filters, FIR filter design using windows, forward and backward difference methods, filter design using frequency sampling method, FIR differentiator design, Hilbert transformer design, IIR filter design, approximation of derivatives, impulse variance, analog filter characteristics, various approximation methods, sampling rate conversion and interpolation techniques. Digital filter design involves using... Show more

If H(s)=\(\frac{1}{s^2+s+1}\) represent the transfer function of a low pass filter (not Butterworth) with a pass band of 1 rad/sec, then what is the system function of a low pass filter with a pass band 10 rad/sec?