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System Frequency characteristic is obtained through CPU algorithm processing by Sinusoidal Correlation Analysis. Research results show that, the instrument has a friendly manmachine interface and a high measuring speed. Testing waveform pares favorably with theoretical calculated one.Key Words: Sinusoidal Correlation Analysis, Frequency Characteristic Analyzer, PC104, FPGA1 Introduction Signal in Control System can be divided as the synthesis of sine signals with different frequency. And performance of system response under sine signal effect can be reflected on Frequency characteristic. Dynamic response and noise suppression requirements can be taken account of simultaneously when designing frequency for system. Widelyused frequency characteristic analyzer is designed according to the measurement principle of frequency sweeping method[1]. It is a kind of rapid, simple, realtime, dynamic, multiparameter and intuitionistic measuring instrument, which could be widely used in electronic engineering field. However, there are some disadvantages in application of the analog scanner, such as expensive price, no direct output of phase frequency characteristic, no storage and output for exciting signal and response signal of system[2]. Thus, an Embedded Frequency Characteristic Analyzer is designed. The analyzer adopts the idea of virtual instrument[34] and takes PC104 CPU as main control unit, achieves logic control function inside of FPGA, and outputs exciting signal of sine wave among working frequency range by controlling DAC712 chip. ADS7805 chip is controlled to sample and store exciting signal as well as response signal of system under testing. After algorithm processing, the amplitude frequency characteristic and phasefrequency characteristic are obtained. PC104 embedded structure is adopted by the analyzer, thus system volume is reduced considerably and system realtime performance and reliability are improved. The flexible configurability of FPGA benefits for function expansion of system.2 Theoretical Analysis and CalculationAccording to linear system theory, if input signal of system is , output signal will be [5]. Assume the FFT of and are and , then system frequency characteristic will be (1)Spread formula,we get (2)where , Then, , (3)Both sides of formula (2) are multiplied with and integrated for N periods, we get, (4)From formula (4), we have, (5)Both sides of formula (2) are multiplied with cosωt and integrated for N periods, we get, (6)From formula (6), we have, (7)Assume sampling period is Δt , then quantity of sampling point in one period T is . Discretize formulas (5) and (7), we get, (8) (9)where k is sequence number of sampling point. According to formulas (8) and (9), parameter a and b can be calculated when sampling values and , are known[5]. From formula (3), amplitude B and phase difference θ of system response can be calculated. Thus, the amplitudefrequency characteristic and phasefrequency characteristic of the system can be obtained.3 Hardware Circuit Design Combining above theoretical analysis of sinusoidal correlation analysis, general hardware structure, mainly including PC104 main control module, FPGA control logic circuit, A/D conversion circuit, D/A conversion circuit and signal processing circuit. PC104 Main Control Unit The main controller module is posed of PC104 embedded puter and other peripheral devices. The CPU module of PC104 puter is SCM/PM4060, produced by SENBO Company, whose predominant frequency is . The functions of PC104 include: excitation signal settings (amplitude, onset and termination scanning frequency and initial phase), FPGA configuration