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本文提出了几种数字正弦振荡器装置及这些装置的设计方法。由于字长有限,这些装置会产生大的舍入误差,既改变所产生的正弦信号的幅度也改变其频率.这就使设计产生特定频率和幅度的正弦波形的振荡器出现了困难。本文表明,如果我们在直接式数字振荡器中加一贮存量化误差,并使其反馈,以考虑后续迭代,则舍入误差就显著地减少,且所产生的波形的频率和幅度非常接近那些理论期望值.本文推导了引起误差的公式,给出模拟结果,从而表明用误差反馈法能明显地改善振荡器的性能。
This paper presents several digital sine oscillator devices and design methods for these devices. Due to the limited word size, these devices generate large rounding errors that alter both the amplitude and the frequency of the resulting sinusoidal signal, making it difficult to design an oscillator that produces a sinusoidal waveform of a particular frequency and amplitude. This article shows that if we add a stored quantization error to the direct digital oscillator and feed it back to account for subsequent iterations, the rounding error is significantly reduced and the resulting waveform is very similar in frequency and magnitude to those in theory Expectation value.This paper derives the formula of the error and gives the simulation result, which shows that the error feedback method can obviously improve the performance of the oscillator.