Direct integrated design method for random-bandwidth multi-pass-band generalized Chebyshev filter

Abstract

The invention relates to a direct integrated design method for a random-bandwidth multi-pass-band generalized Chebyshev filter. The method comprises the following steps of: 1, according to indexes of an analog filter to be integrated, performing independent integrated design on each pass band according to single-pass-band filters, and deriving a characteristic function and a polynomial, which correspond to each single-pass-band filter; 2, substituting the characteristic functions and the polynomials into a superposition relational expression, deriving the corresponding polynomials and determining final characteristic functions of the analog filter to be integrated; 3, converting a scattering matrix which is formed by the polynomials into a theoretic admittance matrix; and 4, performing partial fraction expansion on the theoretic admittance matrix which is obtained in the step 3, and thus obtaining a transverse network matrix of the analog filter to be integrated, which is represented in a global resonant mode. The direct integrated design method for the random-bandwidth multi-pass-band generalized Chebyshev filter has the advantages that network matrixes of various topological equivalent circuits for realizing the frequency response of the analog filter to be integrated can be directly derived, and final physical implementation is facilitated.

Description

technical field [0001] The invention relates to a filter synthesis design method in the field of communication technology, in particular to a multi-passband generalized Chebyshev filter synthesis design method based on a superposition method of any bandwidth, which can be used for multi-passband generalization of any bandwidth Chebyshev filter for direct synthesis design. Background technique [0002] In recent years, many wireless communication standards or protocols have emerged, such as global system for mobile communication (GSM) (800 / 900MHz), global positioning system (GPS) (1575MHz), wideband code division multiple access (WCDMA) (2.1 GHz), Wi-Fi(802.11b / g / a, 2.4 / 5.2GHz), Bluetooth(2.4GHz), wireless local-area network(WLAN)(2.4 / 5.2GHz), and Worldwide Interoperability for Microwave Access(WiMAX) (3.5GHz) and so on. A current trend is to integrate these applications into a single system that can support the operation of multiple standards or protocols. This system can...

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Problems solved by technology

[0004] The purpose of the present invention is to solve the shortcomings of the existing multi-passband generalized Chebyshev filter comprehensive design method that cannot be applied to broadband conditions and the process is complicated, and proposes an arbitrary bandwidth multi-passband generalized Chebyshev filter The direct synthesis design method, the synthesis design method can directly synthesize each passband of the multi-passband filter directly in the bandpass domain, and then superimpose them to obtain the final multi-passband frequency response, the synthesis design method is a direct method that can be used to extract the network matrix of a multi-passband generalized Chebyshev filter with arbitrary bandwidth and transmission zeros located at any frequency, and the derived network matrix has practical physical meaning

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