Digital filter design and array synthesis using quadratic programming
In the field of digital filter designs, all kinds of infinite impulse response (IIR) and finite impulse response (FIR) filters have their own closed-form design method except equiripple FIR filter. In this research based project, elliptic rational function with the characteristics of equiripple beha...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
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2009
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| Online Access: | http://hdl.handle.net/10356/14804 |
| _version_ | 1826120473582239744 |
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| author | Li, Chao Ying. |
| author2 | Ng Boon Poh |
| author_facet | Ng Boon Poh Li, Chao Ying. |
| author_sort | Li, Chao Ying. |
| collection | NTU |
| description | In the field of digital filter designs, all kinds of infinite impulse response (IIR) and finite impulse response (FIR) filters have their own closed-form design method except equiripple FIR filter. In this research based project, elliptic rational function with the characteristics of equiripple behavior and steep transition is applied to design closed-form equiripple FIR filter and to synthesize array beam pattern using quadratic programming. However, when elliptic rational function is used as template, the result can not follow the design template closely with decreasing stop band ripple performance due to the rational function nature. As a result, a few orthogonal polynomials such as Legendre polynomials and Laguerre polynomials are studied to exploit new template for equiripple FIR filter design. Besides, a new equiripple FIR filter design method transformed Chebyshev polynomial is discovered, which is a suboptimal method to design filters. Optimizations of transformed Chebyshev polynomial are carried out and a few optimization results are presented. |
| first_indexed | 2024-10-01T05:17:21Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/14804 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:17:21Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/148042023-07-07T16:23:32Z Digital filter design and array synthesis using quadratic programming Li, Chao Ying. Ng Boon Poh School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Electronic circuits In the field of digital filter designs, all kinds of infinite impulse response (IIR) and finite impulse response (FIR) filters have their own closed-form design method except equiripple FIR filter. In this research based project, elliptic rational function with the characteristics of equiripple behavior and steep transition is applied to design closed-form equiripple FIR filter and to synthesize array beam pattern using quadratic programming. However, when elliptic rational function is used as template, the result can not follow the design template closely with decreasing stop band ripple performance due to the rational function nature. As a result, a few orthogonal polynomials such as Legendre polynomials and Laguerre polynomials are studied to exploit new template for equiripple FIR filter design. Besides, a new equiripple FIR filter design method transformed Chebyshev polynomial is discovered, which is a suboptimal method to design filters. Optimizations of transformed Chebyshev polynomial are carried out and a few optimization results are presented. Bachelor of Engineering 2009-02-06T06:27:07Z 2009-02-06T06:27:07Z 2009 2009 Final Year Project (FYP) http://hdl.handle.net/10356/14804 en 65 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering::Electronic circuits Li, Chao Ying. Digital filter design and array synthesis using quadratic programming |
| title | Digital filter design and array synthesis using quadratic programming |
| title_full | Digital filter design and array synthesis using quadratic programming |
| title_fullStr | Digital filter design and array synthesis using quadratic programming |
| title_full_unstemmed | Digital filter design and array synthesis using quadratic programming |
| title_short | Digital filter design and array synthesis using quadratic programming |
| title_sort | digital filter design and array synthesis using quadratic programming |
| topic | DRNTU::Engineering::Electrical and electronic engineering::Electronic circuits |
| url | http://hdl.handle.net/10356/14804 |
| work_keys_str_mv | AT lichaoying digitalfilterdesignandarraysynthesisusingquadraticprogramming |