A transformation on Chebychev approximation resulting in improved delay characteristics

✍ Scribed by Aria Nosratinia; James J. Soltis; Majid Ahmadi

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 276 KB
• Volume: 329
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(92)90084-t

✦ Synopsis

An analytic technique involving a transftirmation on the Chebychev transfer function is presented in this paper. This method will enable the designer to reduce the value of the spike in the group-delay projile at the expense of the stopband roll-ofS rate, while maintaining a pre-spec$ed equi-ripple characteristic in the passband. Since the parameters of the transformation are continuous-valued, an infinite family of Chebychev designs is possible.

The approach is presented for the analog case, but is easily extended to digital filters via bilinear transformation.