Title |
Trade-offs Between the Ripple and the Transition Band for the Chebyshev BPF and the Cascading Chebyshev BPF |
Authors |
신승식(Seung-Sik Shin) ; 유치형(Chi-hyung You) |
DOI |
http://doi.org/10.5370/KIEE.2018.67.2.255 |
Keywords |
Ripple and transition band trade-off ; Cascading filter ; Chebyshev filter ; Butterworth filter |
Abstract |
This study is focusing on the trade-offs between the passband ripples and transition bands of the Chebyshev BPF, which is converted by using the Chebyshev LPF that is well known as a proto-type analog filter. It is also focusing on the trade-offs between the passband ripples and transition bands of the cascading Chebyshev BPF, as well as, the trade-offs between the two BPFs. The study finds the frequency responses of the proto-type analog LPF, the Chebyshev BPF and the cascading Chebyshev BPF. The study shows the results as comparative analysis tables. The study designs the 10th Chebyshev BPF in order to analyze it easily. The simulation results show that the Chebyshev BPF decreases about 55% of the transition band for the ?2.5[dB] passband ripple comparing to the ?0.5[dB] passband ripple. This study shows the effectiveness and economic feasibility in the restricted frequency communication environment for the decrease of the transition band as providing the passband ripple margin. |