Aufgaben:Exercise 1.2Z: Puls Code Modulation - Revision history

Javier at 08:42, 11 October 2021

2021-10-11T08:42:19Z

Javier: Text replacement - "discrete-valued" to "discrete"

2021-10-11T08:27:54Z

Text replacement - "discrete-valued" to "discrete"

Javier: Text replacement - "value-continuous" to "continuous"

2021-10-11T08:27:12Z

Text replacement - "value-continuous" to "continuous"

Javier: Text replacement - "continuous-valued" to "continuous"

2021-10-11T08:19:50Z

Text replacement - "continuous-valued" to "continuous"

Guenter at 12:21, 24 May 2021

2021-05-24T12:21:22Z

Guenter at 16:16, 17 May 2021

2021-05-17T16:16:13Z

Guenter at 12:31, 9 April 2021

2021-04-09T12:31:52Z

Guenter at 12:29, 9 April 2021

2021-04-09T12:29:05Z

Guenter at 12:24, 9 April 2021

2021-04-09T12:24:38Z

Guenter at 12:17, 9 April 2021

2021-04-09T12:17:09Z

@@ Line 29: / Line 29: @@
 + In normal operation&nbsp; ${q(t)}$&nbsp; is a stochastic signal.
 + A deterministic source signal is only useful in test operation or for theoretical investigations.
-- ${q(t)}$&nbsp; is a time-discrete signal.
+- ${q(t)}$&nbsp; is a discrete-time signal.
-+ ${q(t)}$&nbsp; is a continuous signal.
++ ${q(t)}$&nbsp; is a continuous-valued signal.
 {Which of the statements apply to the sampled signal&nbsp; $q_{\rm A}(t)$&nbsp;?
 |type="[]"}
-- $q_{\rm A}(t)$&nbsp; is a discrete signal.
+- $q_{\rm A}(t)$&nbsp; is a discrete-valued signal.
-+ $q_{\rm A}(t)$&nbsp; is a time-discrete signal.
++ $q_{\rm A}(t)$&nbsp; is a discrete-time signal.
 + The higher the maximum frequency of the source signal, the higher the sampling rate must be selected.
@@ Line 42: / Line 42: @@
 {Which statements are true for the quantized signal&nbsp; $q_{\rm Q}(t)$&nbsp; if&nbsp; $N = 8$&nbsp; is taken as a base?
 |type="[]"}
-+ $q_{\rm Q}(t)$&nbsp; is a time-discrete signal.
++ $q_{\rm Q}(t)$&nbsp; is a discrete-time signal.
-- $q_{\rm Q}(t)$&nbsp; is a discrete signal with&nbsp; $M = 8$&nbsp; possible values.
+- $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 8$&nbsp; possible values.
-+ $q_{\rm Q}(t)$&nbsp; is a discrete signal with&nbsp; $M = 256$&nbsp; possible values.
++ $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 256$&nbsp; possible values.
 - $q_{\rm Q}(t)$&nbsp; is a binary signal.
@@ Line 50: / Line 50: @@
 {Which statements are true for the coded signal&nbsp; $q_{\rm C}(t)$&nbsp; if&nbsp; $N = 8$&nbsp; is taken as a base?
 |type="[]"}
-+ $q_{\rm C}(t)$&nbsp; is a time-discrete signal.
++ $q_{\rm C}(t)$&nbsp; is a discrete-time signal.
-- $q_{\rm C}(t)$&nbsp; is a discrete  signal with&nbsp; $M = 8$&nbsp; possible values.
+- $q_{\rm C}(t)$&nbsp; is a discrete-time signal with&nbsp; $M = 8$&nbsp; possible values.
 + $q_{\rm C}(t)$&nbsp; is a binary signal.
 - When sampling at distance&nbsp; $T_{\rm A}$&nbsp; the bit duration is&nbsp; $T_{\rm B} = T_{\rm A}$.
@@ Line 71: / Line 71: @@
 '''(2)'''&nbsp;  Correct are the <u>solution suggestions 2 and 3</u>:
-*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp; continuous, but now also&nbsp;time-discrete.
+*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp; continuous in value, but now also&nbsp;discrete in time.
 *The sampling frequency&nbsp; $f_{\rm A}$&nbsp; is given by the so-called&nbsp; "Sampling Theorem".
 *The greater the maximum frequency&nbsp; $f_{\rm N,\,max}$&nbsp; of the source signal, the greater must&nbsp; $f_{\rm A} ≥ 2 \cdot f_{\rm N,\,max}$&nbsp; be selected.
@@ Line 79: / Line 79: @@
 '''(3)'''&nbsp;  Correct are the <u>solution suggestions 1 and 3</u>:
 *The quantized signal&nbsp; $q_{\rm Q}(t)$&nbsp; is  discrete in time and value, where the number of levels are&nbsp; $M = 2^8 = 256$&nbsp;.
-*A binary signal, on the other hand, is a  value&ndash;discrete signal with the level number&nbsp; $M = 2$.
+*A binary signal, on the other hand, is a  discrete-valued signal with the level number&nbsp; $M = 2$.

@@ Line 35: / Line 35: @@
 {Which of the statements apply to the sampled signal&nbsp; $q_{\rm A}(t)$&nbsp;?
 |type="[]"}
-- $q_{\rm A}(t)$&nbsp; is a discrete-valued signal.
+- $q_{\rm A}(t)$&nbsp; is a discrete signal.
 + $q_{\rm A}(t)$&nbsp; is a time-discrete signal.
 + The higher the maximum frequency of the source signal, the higher the sampling rate must be selected.
@@ Line 43: / Line 43: @@
 |type="[]"}
 + $q_{\rm Q}(t)$&nbsp; is a time-discrete signal.
-- $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 8$&nbsp; possible values.
+- $q_{\rm Q}(t)$&nbsp; is a discrete signal with&nbsp; $M = 8$&nbsp; possible values.
-+ $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 256$&nbsp; possible values.
++ $q_{\rm Q}(t)$&nbsp; is a discrete signal with&nbsp; $M = 256$&nbsp; possible values.
 - $q_{\rm Q}(t)$&nbsp; is a binary signal.
@@ Line 51: / Line 51: @@
 |type="[]"}
 + $q_{\rm C}(t)$&nbsp; is a time-discrete signal.
-- $q_{\rm C}(t)$&nbsp; is a discrete-valued  signal with&nbsp; $M = 8$&nbsp; possible values.
+- $q_{\rm C}(t)$&nbsp; is a discrete  signal with&nbsp; $M = 8$&nbsp; possible values.
 + $q_{\rm C}(t)$&nbsp; is a binary signal.
 - When sampling at distance&nbsp; $T_{\rm A}$&nbsp; the bit duration is&nbsp; $T_{\rm B} = T_{\rm A}$.

@@ Line 71: / Line 71: @@
 '''(2)'''&nbsp;  Correct are the <u>solution suggestions 2 and 3</u>:
-*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp; value-continuous, but now also&nbsp;time-discrete.
+*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp; continuous, but now also&nbsp;time-discrete.
 *The sampling frequency&nbsp; $f_{\rm A}$&nbsp; is given by the so-called&nbsp; "Sampling Theorem".
 *The greater the maximum frequency&nbsp; $f_{\rm N,\,max}$&nbsp; of the source signal, the greater must&nbsp; $f_{\rm A} ≥ 2 \cdot f_{\rm N,\,max}$&nbsp; be selected.

@@ Line 30: / Line 30: @@
 + A deterministic source signal is only useful in test operation or for theoretical investigations.
 - ${q(t)}$&nbsp; is a time-discrete signal.
-+ ${q(t)}$&nbsp; is a continuous-valued signal.
++ ${q(t)}$&nbsp; is a continuous signal.

← Older revision		Revision as of 12:21, 24 May 2021
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−	{{quiz-Header\|Buchseite=~~Signaldarstellung~~/~~Prinzip der Nachrichtenübertragung~~}}	+	{{quiz-Header\|Buchseite=Signal_Representation/Signal_classification}}

← Older revision		Revision as of 16:16, 17 May 2021
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−	[[File:EN_Sig_Z_1_2.png\|right\|frame\|~~Components of~~ PCM]]	+	[[File:EN_Sig_Z_1_2.png\|right\|frame\|PCM components]]
	All modern communication systems are digital.  The principle of digital transmission of speech signals goes back to  [https://en.wikipedia.org/wiki/Alec_Reeves Alec Reeves],  who invented the so-called  "Puls Code Modulation"  $\rm (PCM)$  as early as 1938.		All modern communication systems are digital.  The principle of digital transmission of speech signals goes back to  [https://en.wikipedia.org/wiki/Alec_Reeves Alec Reeves],  who invented the so-called  "Puls Code Modulation"  $\rm (PCM)$  as early as 1938.

@@ Line 79: / Line 79: @@
 '''(3)'''&nbsp;  Correct are the <u>solution suggestions 1 and 3</u>:
 *The quantized signal&nbsp; $q_{\rm Q}(t)$&nbsp; is  discrete in time and value, where the number of levels are&nbsp; $M = 2^8 = 256$&nbsp;.
-*A binary signal, on the other hand, is a discrete value signal with the number of steps&nbsp; $M = 2$.
+*A binary signal, on the other hand, is a  value&ndash;discrete signal with the level number&nbsp; $M = 2$.
-'''(4)'''&nbsp;  Correct here are the <u>solutions 1, 3 and 5</u>:
+'''(4)'''&nbsp;  Correct are the <u>solutions 1, 3 and 5</u>:
 *The coded signal&nbsp; $q_{\rm C}(t)$&nbsp; is binary&nbsp; $($level number&nbsp; $M = 2)$&nbsp; with bit duration&nbsp; $T_{\rm B} = T_{\rm A}/8$.
 {{ML-Fuß}}

@@ Line 63: / Line 63: @@
 {{ML-Kopf}}
 '''(1)'''&nbsp;  Correct are the <u>solutions 1, 2 and 4</u>:
-*The source signal&nbsp; ${q(t)}$&nbsp; is analog, i.e. '' continuous in time and value''.
+*The source signal&nbsp; ${q(t)}$&nbsp; is analog, i.e. "continuous in time and value".
 *In general, it makes no sense to transmit a deterministic signal.
 *For the mathematical description, a deterministic source signal &ndash; such as a periodic signal &ndash; is better suited than a random signal.
@@ Line 71: / Line 71: @@
 '''(2)'''&nbsp;  Correct are the <u>solution suggestions 2 and 3</u>:
-*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp;''value-continuous'', but now also&nbsp;''time-discrete''.
+*After sampling, the signal&nbsp; $q_{\rm A}(t)$&nbsp;  is still&nbsp; value-continuous, but now also&nbsp;time-discrete.
-*The sampling frequency&nbsp; $f_{\rm A}$&nbsp; is given by the so-called&nbsp;''sampling theorem''&nbsp;.
+*The sampling frequency&nbsp; $f_{\rm A}$&nbsp; is given by the so-called&nbsp; "Sampling Theorem".
-*The greater the maximum frequency&nbsp; $f_{\rm N,\,max}$&nbsp; of the message signal, the greater must&nbsp; $f_{\rm A} ≥ 2 \cdot f_{\rm N,\,max}$&nbsp; be selected.
+*The greater the maximum frequency&nbsp; $f_{\rm N,\,max}$&nbsp; of the source signal, the greater must&nbsp; $f_{\rm A} ≥ 2 \cdot f_{\rm N,\,max}$&nbsp; be selected.
 '''(3)'''&nbsp;  Correct are the <u>solution suggestions 1 and 3</u>:
-*The quantized signal&nbsp; $q_{\rm Q}(t)$&nbsp; is time and value discrete, where the number of steps are&nbsp; $M = 2^8 = 256$&nbsp;.
+*The quantized signal&nbsp; $q_{\rm Q}(t)$&nbsp; is  discrete in time and value, where the number of levels are&nbsp; $M = 2^8 = 256$&nbsp;.
 *A binary signal, on the other hand, is a discrete value signal with the number of steps&nbsp; $M = 2$.

@@ Line 3: / Line 3: @@
 [[File:EN_Sig_Z_1_2.png|right|frame|Components of PCM]]
-All modern communication systems are digital.&nbsp; The principle of digital transmission of speech signals goes back to&nbsp; [https://en.wikipedia.org/wiki/Alec_Reeves Alec Reeves]&nbsp;, who invented the so-called&nbsp; "Puls Code Modulation"&nbsp; $\rm (PCM)$&nbsp; as early as 1938.
+All modern communication systems are digital.&nbsp; The principle of digital transmission of speech signals goes back to&nbsp; [https://en.wikipedia.org/wiki/Alec_Reeves Alec Reeves],&nbsp; who invented the so-called&nbsp; "Puls Code Modulation"&nbsp; $\rm (PCM)$&nbsp; as early as 1938.
 On the right you see the (simplified) block diagram of the PCM transmitter with three functional units:
@@ Line 11: / Line 11: @@
-In this task only the different signals of the PCM transmitter are to be classified. Later tasks will deal with other properties of pulse-code modulation.
+In this task only the different signals of the PCM transmitter are to be classified.&nbsp; <br>Later tasks will deal with other properties of the puls code modulation.
@@ Line 18: / Line 18: @@
-''Notes:'' &nbsp; This task belongs to the chapter&nbsp; [[Signal_Representation/Signal_classification|Signal classification]].
+''Note:'' &nbsp; This task belongs to the chapter&nbsp; [[Signal_Representation/Signal_classification|Signal classification]].
@@ Line 37: / Line 37: @@
 - $q_{\rm A}(t)$&nbsp; is a discrete-valued signal.
 + $q_{\rm A}(t)$&nbsp; is a time-discrete signal.
-+ The higher the maximum frequency of the message signal, the higher the sampling rate must be selected.
++ The higher the maximum frequency of the source signal, the higher the sampling rate must be selected.
@@ Line 43: / Line 43: @@
 |type="[]"}
 + $q_{\rm Q}(t)$&nbsp; is a time-discrete signal.
-- $q_{\rm Q}(t)$&nbsp; is a discrete-valued with signal&nbsp; $M = 8$&nbsp; possible values.
+- $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 8$&nbsp; possible values.
-+ $q_{\rm Q}(t)$&nbsp; is a discrete-valued with signal&nbsp; $M = 256$&nbsp; possible values.
++ $q_{\rm Q}(t)$&nbsp; is a discrete-valued signal with&nbsp; $M = 256$&nbsp; possible values.
 - $q_{\rm Q}(t)$&nbsp; is a binary signal.
-{Which statements are true for the coded signal&nbsp; $q_{\rm C}(t)$&nbsp; if&nbsp; $N = 8$&nbsp; is taken as a basis?
+{Which statements are true for the coded signal&nbsp; $q_{\rm C}(t)$&nbsp; if&nbsp; $N = 8$&nbsp; is taken as a base?
 |type="[]"}
 + $q_{\rm C}(t)$&nbsp; is a time-discrete signal.