方波信號波形合成電路電子信息工程-wenkub
2022-12-18 08:49:26 本頁面
【正文】 Abstract Mission is to issue a specific frequency square wave to transform strings produce multiple signals of different frequencies, then the synthesis of these sine square wave signal. First, to design a specific frequency square wave generator, and in this square wave signal on the need for conversion, were generated 10KHz, 30KHz and 50KHz sine wave, then a frequency of the three sine wave synthesis, synthesis of the target after 10KHz square wave signal. The project is based on Fourier series theory. French mathematician Fourier discovered that any periodic function can be used sine and cosine functions to represent the infinite series form (select the sine function and cosine function as basis functions because they are orthogonal), later known as the Fourier A special series of triangular series. Suppose {a0, a1, a2, a3, ..., an, ...} and {b1, b2, b3, ..., bn, ...} is a set of infinite constant. These constants are called Fourier coefficients. x is a variable. Ordinary Fourier series can be expressed as: F(x) = a0/2 + a1 cos x + b1 sin x + a2 cos 2x + b2 sin 2x + ...+ an cos nx + bn sin nx + ... Some relatively simple waveforms, such as pure sine wave, but these are only theoretical. In real life, most of the waveforms contain harmonic frequency (minimum frequency or a multiple of the fundamental frequency) energy. Harmonic frequency energy pared to the ratio of the fundamental frequency energy is dependent on the waveform. Fourier series mathematical definition of this kind of waveform relative to the displacement function of time (usually amplitude, frequency or phase). Calculated as the Fourier series of items increasing, the series will be more similar to the definition of the precise function of plex signal waveforms. Computer can calculate the Fourier series of hundreds of thousands or even millions of entries. This topic is based on this principle, take fundamental, third harmonic and fifth harmonic synthesis. Of course, between the harmonic phase and amplitude to meet certain proportional relationship, so with the same oscillator signal, then the frequency and the shift is equal treatment. Keywords: Square wave oscillator。 [1] 隨著傅里葉級數(shù)中計算的項的增加，級數(shù)會越來越近似于定義復(fù)雜信號波形的精確函數(shù)。普通的傅里葉級數(shù)可以表示為： F(x) = a0/2 + a1 cos x + b1 sin x + a2 cos 2x + b2 sin 2x + ...+ an cos nx + bn sin nx + ... 一些波形比較簡單，比如單純的正弦波，但是這些只是理論上的。 法國 數(shù)學(xué)家傅里葉發(fā)現(xiàn)，任何周期 函數(shù) 都可以用正弦函數(shù)和余弦函數(shù)構(gòu)成的無窮級數(shù)來表示（選擇正弦函數(shù)與余弦函數(shù)作為基函數(shù)是因為它們是正交的），后世稱為傅里葉級數(shù)一種特殊的三角級數(shù)。 第五階段（ 14 周 —— ）：撰寫畢業(yè)設(shè)計論文，答辯。 方波震蕩電路 分頻與濾波 ….. 移相電路 … 加法器 合成信號 Ⅲ、進(jìn)度安排： 第一階段（ 10 年下 13 周 —— 15 周）：搜集相關(guān)資料，復(fù)習(xí)掌握相關(guān)的理論知識。電路示意圖如圖所示 。 基本要求： 方波振蕩器的信號經(jīng)分頻與濾波處理，同時產(chǎn)生頻率為 10kHz 和30kHz 的正弦波信號，這 2 種信號應(yīng)具有確定的相位關(guān)系； 產(chǎn)生的信號波形無明顯失真，幅度峰峰值分別為 6V和 2V； 制作一個由移相器和加法器構(gòu)成的信號合成電路，將產(chǎn)生的 10kHz 和 30kHz的正弦波信號作為基波和 3 次諧波，合成一個近似方波，波形幅度為 5V。 第二階段（ 16 周 —— 20 周）：方波產(chǎn)生電路設(shè)計、調(diào)試。 Ⅳ、主要參考資料： [1]、鄭君里 等《信號與系統(tǒng)》（上） [M].高等教育出版社， 2021. [2]、康華光 .《電子技術(shù)基礎(chǔ)》（模擬部分） [M].高等教育出版社 ,2021. [3]、胡漢才 .《單片機(jī)原理及系統(tǒng)設(shè)計》 .清華大學(xué) 出版社， 2021. [4]、
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