Signals and Systems: From basics to advance(Course-1)

سرفصل های دوره

Fundamentals of signal processing in Continuous time domain and in Discrete time domain

1 - Introduction

1 - Definition of signal and system

2 - Independent Variables Time and frequency

3 - Note on independent variables

4 - Primary classification of signals

5 - Construction of a discrete domain signal

6 - Finite duration sequence and definition of sampling and interpolation

7 - Time shifting operation01

8 - Time shifting operation02

9 - Time scaling operation in CT domain

10 - Time compression in DT domain

11 - Time expansion in DT domain01

12 - Time expansion in DT domain02

13 - Time inversion

14 - Amplitude inversion

15 - Order of precedence in CT domain

16 - Order of precedence in DT domain

17 - Solved example01

18 - Solved example02

19 - Solved example03

20 - Solved example04

2 - Classification of signals

21 - Periodic signal construction

22 - Periodic signal fundamental period and fundamental frequency

23 - Periodic signal in DT domain

24 - Summation of periodic signals

25 - Solved example01

26 - Example for periodic signalSinusoidal signals

27 - Sinusoidal signals in DT domain

28 - L28

29 - Difference between CT and DT domain sinusoidal signals01

30 - Difference between CT and DT domain sinusoidal signals02

31 - Solved example02

32 - Solved example03

33 - Solved example04

34 - Solved example05

35 - Solved example06

36 - Solved example07

37 - Example for aperiodic signals real exponential signal

38 - Real exponential signals in DT domain

39 - Engery and power signal Basic definitions

40 - Energy and power signal Mathematical expressions

41 - Energy and power expressionsSummary

42 - Root Mean SquareRMS value

43 - Operations performed on energy signal

44 - Operations performed on power signal

45 - Average power calculation of sinusoidal signals01

46 - Average power calculation of sinusoidal signals02

47 - Solved example08

48 - Solved example09

49 - Solved example10

50 - Solved example11

51 - Even and Odd signalsDefinition

52 - Real signal as a combination of even and odd signals

53 - Area of even and odd signals

54 - Conjuage symmetric and Conjuage anti symmetric signals

55 - CS and CAS signalscontd

56 - Solved example12

57 - Solved example13

58 - Solved example14

59 - Solved example15

3 - Standard signals

60 - Unit impulse signal in CT and DT domains

61 - Area of unit impulse

62 - Sampling property

63 - Sampling property in DT domain

64 - Sifting property

65 - Scaling property

66 - Differentiation property

67 - Impulse train

68 - Discrete time signal as combination of impulses

69 - Continuous time signal as combination of impulses

70 - Solved example01

71 - Solved example02

72 - Solved example03

73 - Solved example04

74 - Unit step signal definition

75 - Practice step signal

76 - Unit step scaling

77 - Energy and power of step signal

78 - Even and Odd components of unit step signal

79 - Combination of step signals

80 - Causal signal definition wrt to step signal

81 - Causal signals in DT domain

82 - Causality conditionexamples

83 - Significance of step signal

84 - Energy calculation for real exponential signals

85 - Energy of real exponential signalssummary

86 - Energy of real exponential signals in DT domain

87 - Relation between unit step and unit impulse01

88 - Relation between unit step and unit impulse02

89 - Relation between step and impulseSummary

90 - Signum function

91 - Solved example05

92 - Solved example06

93 - Solved example07

94 - Solved example08

95 - Solved example09

96 - Solved example10

97 - Unit ramp signal definition

98 - Ramp signal scaling

99 - Combination of ramp signals

100 - Triangular pulse

101 - Relation between rampstepimpulse

102 - Solved example11

103 - Solved example12

104 - Sinc function and Sampling function

105 - Sinc function in discrete time domain

4 - System properties

106 - System properties

107 - Linearity

108 - Linearity graphical representation

109 - Step by step procedure for finding linearity of a system

110 - Linearity standard example set01

111 - Linearity standard example set02

112 - Linearitystandard example set03

113 - Linearity standard example set04

114 - LinearitySpecial case

115 - Time invariancedefinition

116 - Procedure to determine time invariance

117 - Time invarianceStandard example set01

118 - Time invarianceStandard example set02

119 - Time invarianceStandard example set03

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