Abstract A method of synthesis of odd-order I/Q demodulators based on replacing the multistage demodulation schemes with equivalent single-stage ones is proposed. The calculation of coefficients of single-stage odd-order I/Q demodulator, which is equivalent to multistage scheme in terms of the waveform of its amplitude-frequency characteristic (AFC), is based on the sample-wise analysis of the process of forming the response of the demodulator output stage that involves the sampling the harmonic signal voltages at the output of analog-to-digital converter (ADC). An example of synthesis of 11-sample former of quadrature components is considered for illustrating the application peculiarities of the method proposed for synthesis of odd-order I/Q demodulators. The comparative results of its AFC calculations are presented. The analytical description of the response of the specified unit in terms of the coefficients of even-order I/Q demodulators forming the multistage scheme has been derived. A number of regularities intrinsic to coefficients of odd-order I/Q demodulators was established, including the regularities characterizing the dependence of their dynamic range on values of weighting coefficients of the initial multistage scheme.

中文翻译：

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基于等效单级解调方案代替多级的奇数I/Q解调过程综合方法

摘要 提出了一种基于等效单级解调方案替代多级解调方案的奇数I/Q解调器合成方法。单级奇数阶 I/Q 解调器的系数计算，就其幅频特性 (AFC) 的波形而言相当于多级方案，是基于对形成过程的采样分析解调器输出级的响应，包括对模数转换器 (ADC) 输出端的谐波信号电压进行采样。考虑了正交分量的 11 样本形成器的合成示例，以说明所提出的用于合成奇数阶 I/Q 解调器的方法的应用特性。介绍了其 AFC 计算的比较结果。已推导出根据偶数阶 I/Q 解调器的系数对指定单元响应的分析描述，该解调器形成多级方案。建立了奇数阶 I/Q 解调器系数固有的许多规律，包括表征其动态范围对初始多级方案的加权系数值的依赖性的规律。