Optimized Second- and Fourth- Order LP and BP Filters

Abstract

In this paper general second-order low-pass and band-pass filter sections are presented. The voltage noise spectral density and Schoeffler sensitivity are calculated for the simple design procedure and for three different types of optimization. The optimization procedure is also done for the forth-order low-pass and band-pass filter. The resulting low noise and sensitivity is investigated using the RMS noise voltage and multi-parameter sensitivity measure. The optimization gives lower noise and lower sensitivity filters. All analyzes are performed using Matlab and Spice programming tools.

U radu su prikazane opće filtarske sekcije drugog i četvrtog reda. Izračunati su spektralna gustoća napona šuma i Schoefflerova osjetljivost i to za jednostavan proračun te za tri različita tipa optimizacije. Optimizacija je također provedena za nisko propusni i pojasno propusni filtar četvrtog reda. Dobiveni niski šum kao i osjetljivost ispitani su računanjem efektivne vrijednosti napona šuma i više-parametarske mjere osjetljivosti. Rezultati optimizacije daju filtre koji imaju manji šum kao i osjetljivost. Svi su proračuni izvedeni korištenjem programskih alata Matlab i Spice.

Key words:

• Low-pass filter
• Band-pass filter
• Noise
• Sensitivity
• Optimization

Ključne riječi:

• nisko-propusni filtar
• pojasno-propusni filtar
• šum
• osjetljivost
• optimizacija

Additional information

Notes on contributors

Nino Stojković

Nino Stojković received a B.Sc. degree in 1989., an M.Sc. degree in 1995 and a Ph.D. degree in 1999, all from the Faculty of Electrical Engineering and Computing, University of Zagreb. In 2005 he earned the title of associate professor at the Faculty of Engineering, University of Rijeka. He was a researcher on fourth scientific projects supported by the Croatian Ministry of Science, Education and Sports and led one scientific project. His research interests include analog signal processing and communication technologies. He was a Fulbright grantee for the year 2003/2004 at Texas A&M University, College Station, Texas. He was Vice Dean for education and Chair of the Department of Automation, Electronics and Computing.

Ervin Kamenar

Ervin Kamenar received a Bachelor degree in 2008 and Master degree in 2010 in electrical engineering, both from the Faculty of Engineering, University of Rijeka. His research interests include analog signal processing.

Mladen Šverko

Mladen Šverko received a Bachelor degree in 2008 and Master degree in 2010, both from the Faculty of Engineering, University of Rijeka. His research interests include analog signal processing and renewable energy systems.