Aufgaben:Exercise 2.1: Rectification - Revision history

Hwang at 03:08, 18 September 2022

2022-09-18T03:08:43Z

2021-04-14T11:21:15Z

2021-04-12T11:59:32Z

2021-04-12T11:54:52Z

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2021-04-12T11:28:53Z

2021-03-26T09:13:06Z

2021-03-26T09:12:39Z

← Older revision		Revision as of 03:08, 18 September 2022
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−	'''(2)'''  The period duration  $x(t)$  is  $T_0 = 2\,\text{ms}$. The inverse ~~amounts~~ to the base frequency  $f_0 \hspace{0.1cm}\underline{ = 500\,\text{Hz}}$.	+	'''(2)'''  The period duration  $x(t)$  is  $T_0 = 2\,\text{ms}$. The inverse magnitudes to the base frequency  $f_0 \hspace{0.1cm}\underline{ = 500\,\text{Hz}}$.

@@ Line 45: / Line 45: @@
-{What is the circular frequency&nbsp; $\omega_0$&nbsp; of the signal&nbsp; $z(t)$?
+{What is the basic circular frequency&nbsp; $\omega_0$&nbsp; of the signal&nbsp; $z(t)$?
 |type="{}"}
 $\omega_0 \ = \ $  { 6283 3% } &nbsp; $\text{1/s}$

← Older revision		Revision as of 11:59, 12 April 2021
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−	'''(3)'''  The half-wave rectification does not change the duration of the period, see the left graph~~. Thus the following still applies~~  $T_0 \hspace{0.1cm}\underline{= 2\,\text{ms}}$.	+	'''(3)'''  The half-wave rectification does not change the duration of the period, see the left graph:  $T_0 \hspace{0.1cm}\underline{= 2\,\text{ms}}$.

	[[File:P_ID262__Sig_A_2_1_a.png\|center\|frame\|Periodic triangular signals]]		[[File:P_ID262__Sig_A_2_1_a.png\|center\|frame\|Periodic triangular signals]]

@@ Line 45: / Line 45: @@
-{What is the base angular frequency&nbsp; $\omega_0$&nbsp; of the signal&nbsp; $z(t)$?
+{What is the circular frequency&nbsp; $\omega_0$&nbsp; of the signal&nbsp; $z(t)$?
 |type="{}"}
 $\omega_0 \ = \ $  { 6283 3% } &nbsp; $\text{1/s}$

@@ Line 3: / Line 3: @@
 }}
 [[File:P_ID239__Sig_A_2_1.png|250px|right|frame|Periodic triangular signal]]
-The graph shows the periodic signal&nbsp; $x(t)$. If&nbsp; $x(t)$&nbsp;is applied to the input of a non-linearity with the characteristic curve
+The graph shows the periodic signal&nbsp; $x(t)$.&nbsp; If&nbsp; $x(t)$&nbsp;is applied to the input of a non-linearity with the characteristic curve
 :$$y=g(x)=\left\{ {x \; \rm for\; \it x \geq \rm 0, \atop {\rm 0 \;\;\; \rm else,}}\right.$$
-the signall&nbsp; $y(t)$ is obtained at the output. A second non-linear characteristic
+the signal&nbsp; $y(t)$ is obtained at the output.&nbsp; A second non-linear characteristic
 :$$z=h(x)=|x|$$
@@ Line 19: / Line 19: @@
-''Hint:''
+''Note:''
 *This exercise belongs to the chapter&nbsp; [[Signal_Representation/General_Description|General description of periodic signals]].

← Older revision		Revision as of 11:34, 12 April 2021
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	__NOEDITSECTION__		__NOEDITSECTION__
−	[[Category:Signal Representation: Exercises\|^2.1 ~~General~~ Description of Periodic Signals^]]	+	[[Category:Signal Representation: Exercises\|^2.1 Description of Periodic Signals^]]

← Older revision		Revision as of 11:33, 12 April 2021
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	__NOEDITSECTION__		__NOEDITSECTION__
−	[[Category:Signal Representation: Exercises\|^2.1 General Description ~~about~~ Periodic Signals^]]	+	[[Category:Signal Representation: Exercises\|^2.1 General Description of Periodic Signals^]]

← Older revision	Revision as of 11:28, 12 April 2021
(No difference)

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 '''(3)'''&nbsp;   The half-wave rectification does not change the duration of the period, see the left graph. Thus the following still applies&nbsp; $T_0 \hspace{0.1cm}\underline{= 2\,\text{ms}}$.
-[[File:P_ID262__Sig_A_2_1_a.png|center|frame|Periodische Dreiecksignale]]
+[[File:P_ID262__Sig_A_2_1_a.png|center|frame|Periodic triangular signals]]
 '''(4)'''&nbsp;   After full-wave rectification, the signal&nbsp; $z(t)$&nbsp; has double the frequency (see right graph). The following values apply here:

@@ Line 2: / Line 2: @@
 {{quiz-Header|Buchseite=Signal Representation/General Description
 }}
-[[File:P_ID239__Sig_A_2_1.png|250px|right|frame|Periodisches Dreiecksignal]]
+[[File:P_ID239__Sig_A_2_1.png|250px|right|frame|Periodic triangular signal]]
 The graph shows the periodic signal&nbsp; $x(t)$. If&nbsp; $x(t)$&nbsp;is applied to the input of a non-linearity with the characteristic curve