or the ideal sine filter frequency, sometimes referred to as a modified duo-binary filter, response consists of a sine function at low frequencies, and total attenuation at high frequencies.

In FilterSolutions, the passband frequency is set at the infinite attenuation point.

Nyquist's first criteria may be satisfied by the sine filter when used in conjunction with bipolar signaling. The sine filter has the advantage over a cosine filter in that the PSD is null at DC.

Mathematically, the frequency response of the cosine filter may be written as:

The ideal sine filter frequency response is shown below:

Ideal Sine Filter Frequency Response