Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions...

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Week 7 Frequency domain 1. Sinusoids and sound 2. Sinusoids form a basis for periodic functions 3. Sinusoids used in signal compression 4. Sinusoids used in FCC regulations 5. Sinusoids and LTI systems

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Transcript of Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions...

Page 1: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

Week 7 Frequency domain

1. Sinusoids and sound2. Sinusoids form a basis for periodic functions3. Sinusoids used in signal compression4. Sinusoids used in FCC regulations5. Sinusoids and LTI systems

Page 2: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

Notes/frequency domain/frequencies

Notes/frequency domain/musical scale

Notes/frequency domain/phase

Notes/frequency domain/images

Page 3: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

1. Basis for periodic signals

Fourier Series of f

Page 4: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

Discrete Fourier Series of f

Page 5: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

20 1 3 4n

Page 6: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.
Page 7: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

Topics/FrequencyDomain/FSExamples

Topics/FrequencyDomain/DFSExamples

Page 8: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

2. Sinusoids in signal compression

Page 9: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.
Page 10: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

3. FCC regulations

The FCC allocates the (electromagnetic) spectrumto various uses according to this chart

for a more complete picture see sidebars/radio/freq

Page 11: Week 7 Frequency domain 1.Sinusoids and sound 2.Sinusoids form a basis for periodic functions 3.Sinusoids used in signal compression 4.Sinusoids used in.

The AM radio band are in the range 535-1705 kHzCarriers are separated by 10kHZ, 540kHz, 550kHz, ..

The FM radio band are in the range 88-108 MHzCarriers are separated by 0.2MHz, 88.1MHz, 88.3MHz, ..

Analog TV channels occupy 6 MHz of bandwidthch2-4, 54-72MHz; 5-6, 76-88MHz; ch7-13, 174-216MHz


Vocab. Power Point Randall York. Additive Synthesis A synthesis technique that creates a periodic signal by adding sinusoids together.

Vocab. Power Point Randall York. Additive Synthesis A synthesis technique that creates a periodic signal by adding sinusoids together.

Chapter09 :Sinusoids and Phasors electric circuit textbook solution

Chapter09 :Sinusoids and Phasors electric circuit textbook solution

Nargis Periodic Review - UNIC Yangonyangon.sites.unicnetwork.org/files/2013/05/periodicreview-9of9.pdf · Post-Nargis Periodic Review I 71 ... A hexagonal grid was used in the Periodic

Nargis Periodic Review - UNIC Yangonyangon.sites.unicnetwork.org/files/2013/05/periodicreview-9of9.pdf · Post-Nargis Periodic Review I 71 ... A hexagonal grid was used in the Periodic

The Periodic Table of The Elements. Periodic Table of Elements The structure and properties of atoms are used to organize the periodic table, just as.

The Periodic Table of The Elements. Periodic Table of Elements The structure and properties of atoms are used to organize the periodic table, just as.

Unit.4 - Harmonics · 05/09/2012 Unit.4.Harmonics 13 •Any periodic sinusoids can be expressed as sum of sinusoids •When a waveform is identical from one cycle to the next ...

Unit.4 - Harmonics · 05/09/2012 Unit.4.Harmonics 13 •Any periodic sinusoids can be expressed as sum of sinusoids •When a waveform is identical from one cycle to the next ...

Chapter 1 Problem-1 Determine whether or not each of the … · We know that the function sin(4t—1) is periodic with period f. Since the positive and negative cycles of sinusoids

Chapter 1 Problem-1 Determine whether or not each of the … · We know that the function sin(4t—1) is periodic with period f. Since the positive and negative cycles of sinusoids

The Intermodulation and Distortion due to Quantization of Sinusoids

The Intermodulation and Distortion due to Quantization of Sinusoids

Novel Sum-of-Sinusoids Simulation Models for Rayleigh and Rician ...

Novel Sum-of-Sinusoids Simulation Models for Rayleigh and Rician ...

Surface Charge Distribution onthe Endothelial Cell of Liver Sinusoids · 2015. 7. 29. · Surface Charge Distribution onthe Endothelial Cell of Liver Sinusoids LUCIAN GHITESCU and

Surface Charge Distribution onthe Endothelial Cell of Liver Sinusoids · 2015. 7. 29. · Surface Charge Distribution onthe Endothelial Cell of Liver Sinusoids LUCIAN GHITESCU and

Wavelets & Wavelet Algorithms: Longitudinal Waves, Sinusoids, & Fourier's Discovery

Wavelets & Wavelet Algorithms: Longitudinal Waves, Sinusoids, & Fourier's Discovery

Single-Node-Pair Circuits (2.4); Sinusoids (7.1);

Single-Node-Pair Circuits (2.4); Sinusoids (7.1);

The Periodic Table The Periodic Table is used to organize the 114 elements in a meaningful way. As a consequence of this organization, there are periodic.

The Periodic Table The Periodic Table is used to organize the 114 elements in a meaningful way. As a consequence of this organization, there are periodic.

S tatistical Analysis of Sum-of-Sinusoids Fading Channel Simulators

S tatistical Analysis of Sum-of-Sinusoids Fading Channel Simulators

Sinusoids - test bank U · chapter 2 sinusoids 2-1 problem solutions 1 7klvzrunlvsurwhfwhge\8qlwhg6wdwhvfrs\uljkwodzv vroho\iruwkhxvhrilqvwuxfwruvlqwhdfklqj'lvvhplqdwlrq rqwkh:ruog:lgh:he

Sinusoids - test bank U · chapter 2 sinusoids 2-1 problem solutions 1 7klvzrunlvsurwhfwhge\8qlwhg6wdwhvfrs\uljkwodzv vroho\iruwkhxvhrilqvwuxfwruvlqwhdfklqj'lvvhplqdwlrq rqwkh:ruog:lgh:he

Fourier Series and Fourier Transforms · Fourier Series The Fourier series is a representation of a periodic signal x(t) in terms of complex exponentials or sinusoids of frequency

Fourier Series and Fourier Transforms · Fourier Series The Fourier series is a representation of a periodic signal x(t) in terms of complex exponentials or sinusoids of frequency

2009/10/26 System Arch 1 OUTLINE Periodic Signal Fourier series introduction Sinusoids Orthogonality Integration vs inner product.

2009/10/26 System Arch 1 OUTLINE Periodic Signal Fourier series introduction Sinusoids Orthogonality Integration vs inner product.

Sinusoids & Complex Sinusoids

Sinusoids & Complex Sinusoids

EEEB123 - Chapter 9 Sinusoids and Phasors

EEEB123 - Chapter 9 Sinusoids and Phasors

Sinusoids Chapter

Sinusoids Chapter

The Periodic Table of Elements Used to keep track of the different elements that are natural & man made Mendeleev used atomic mass. The modern Periodic.

The Periodic Table of Elements Used to keep track of the different elements that are natural & man made Mendeleev used atomic mass. The modern Periodic.