This paper introduces a multiplierless multinomial filter with a simple cascaded form by a base filter. That the phase characteristic of the proposed filter was linear from the phase equation had derived from the transfer function of that. In order to obtain the magnitude characteristic in terms of normalized frequency, the coefficients of the transfer function are required, but it is very difficult to obtain them from an existing formula for multinomial coefficients. A new and compact formulas to obtain the coefficients easily compared to a well-known formula so that they can evaluate even for large cascaded stages had derived. The numbers of stages to meet the required attenuation had formulated in terms of the normalized frequency. The attenuation performances according to the number of base filters for multinomial filters consisted of two types of MA filters with 4 and 8 of lengths respectively had also evaluated.Since the proposed filter has a unified and simple cascaded structure and does not require any multiplier like the binomial filter, it is expected that they will have many applications in the areas such as high-speed communication and image signal processing.

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We proposed a hopping phase estimator to demodulate the received signals without any hopping information in frequency hopping spread spectrum systems. The demodulation process in this paper is as follows: hopped frequency tracking is accomplished by choosing a frequency component with maximum amplitude after taking discrete Fourier transform and a hopping frequency estimator which estimates the phase generated by hopped frequency is established through difference product and down-sampling. We obtained the probability density function and variance performance of the proposed estimator and confirmed that the analysis and the simulation results were agreed with each other. . 따라서 주파수 도약 대역확산 신호의 수신을 위해 동기 획득 [2,3] , 신호 검출 및 분리 [4,5] , 도약 시각 및 도 약 주파수와 같은 파라미터 추정 [6][7][8][9][10] , 기저대역 복조