cedd lec
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@ -99,6 +99,7 @@ $x(t)$ -- это входной непрерывный сигнал, умнож
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-signal-discretization.svg}
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\caption{Дискретизация сигнала}
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\label{pic:sig-discr}
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\end{figure}
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Дискретный сигнал в частотной области -- бесконечное число повторяющихся копий дискретного представления сигнала. В цифровом вычислительном блоке мы всегда работаем с дискретным сигналом. Важно на каком расстоянии стоят частоты дискретного сигнала (виртуальные образы цифрового сигнана). Чтобы они не накладывались друг на друга нужна предварительная фильтрация (производимая ФПО).
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@ -160,6 +161,7 @@ $\frac{\sin{X}}{X}$ -- первый замечательный предел
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-sampling-afc.svg}
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\caption{Завал из-за усреднения напряжения на УВХ}
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\label{pic:sig-discr-uvh}
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\end{figure}
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В предельном случае -- импульсная характеристика идеального ФНЧ, а в реальности это простая фильтрация. то есть сам АЦП выступает в роли фильтра.
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@ -240,11 +242,16 @@ $\frac{\sin{X}}{X}$ -- первый замечательный предел
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$\frac{sin 2\pi f_a(t-t_k)}{2\pi f_a(t-t_k)}$ -- импульсная характеристика идеального фильтра низких частот с прямоугольной АЧХ. То есть это указание о том, как именно восстанавливать сигнал -- пропустить через идеальный ФНЧ. Важно в теореме -- ширина спектра сигнала. а не максимальная частота.
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(1)
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\begin{figure}[H]
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-adc-out.svg}
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\caption{На выходе АЦП}
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\end{figure}
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Вводить для 8-битной системы мощные средства передискретизации -- избыточно.
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Классический случай дискретизации -- когда исходный сигнал находится в первой зоне (рис2, рис4). Другие сигналы называются полосовые сигналы. Для полосового сигнала спектр окажется такой же
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Классический случай дискретизации -- когда исходный сигнал находится в первой зоне (рис. \hrf{pic:sig-discr}, \hrf{pic:sig-discr-uvh}). Другие сигналы называются полосовые сигналы. Для полосового сигнала спектр окажется такой же
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Субдискретизация -- (англ. under-sampling) дискретизация полезного сигнала, располагающегося вне основной полосы, т.е. лежащего в зоне с номером больше, чем 1 (полосовая дискретизация).
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@ -258,16 +265,49 @@ $\frac{sin 2\pi f_a(t-t_k)}{2\pi f_a(t-t_k)}$ -- импульсная харак
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Котельников в лоб -- дискретизация должна быть на 400+ МГЦ.
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(2)
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\begin{figure}[H]
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-freq-move.svg}
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\caption{Перенос частоты}
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\end{figure}
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Применяя методику субдискретизации можно существенно уменьшить требования к параметрам приёмника. Но требования к АЦП остаются такими же.
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(3)
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\begin{figure}[H]
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\centering
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\begin{subfigure}[b]{0.9\textwidth}
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-freq-z1.svg}
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\caption{ }
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\end{subfigure}
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\begin{subfigure}[b]{0.9\textwidth}
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-freq-z2.svg}
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\caption{ }
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\end{subfigure}
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\begin{subfigure}[b]{0.9\textwidth}
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-freq-z3.svg}
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\caption{ }
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\end{subfigure}
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\end{figure}
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Когда сигнал лежит в зоне нечётным номером -- это полный образ, если с чётным -- инверсия. В любом случае в интересующей полосе образ.
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Фильтр для классической дискретизации -- это ФНЧ. для субдискретизации -- полосовой фильтр.
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(4)
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\begin{figure}[H]
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\centering
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\fontsize{12}{1}\selectfont
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\includesvg[scale=1.01]{pics/04-cedd-00-freq-z-dd.svg}
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\caption{ }
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\end{figure}
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полосовой фильтру
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полоса пропускания f1-f2
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After Width: | Height: | Size: 22 KiB |
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Reference in New Issue