{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Heimadaemi_01_lausnir - A F5GF ja Ö×k iÔ ØaÚ e Ök...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A F5GF ja Ö×k iÔ ØaÚ e Ök fÖð i e iÑ adÑ i aÙ ×Ò iÖ Öe fÒaa Ö íÒG ÙÒÒa Ö×dó ØØ iÖ aÙ ×Ø DÑ i F ÓÙ Ö ieÖÚö ÖÔÙÒ g ( t ) eÖ G ( f ) g ( t ) ←→ G ( f ) aÒÒ iðe fØ iÖ fa ÖaÒd i: E f g ( t ) eÖÖaÙÒg iÐØÓg ja fÒ ×ØØØþeÖ G ( f ) ÖaÙÒg iÐØÓg ja fÒ ×ØØØ E f g ( t ) eÖÖaÙÒg iÐØÓgÓdd ×ØØØþeÖ G ( f ) ØÚ iÒÒ Øa ÐaÓgÓdd ×ØØØ aÙ ×Ò : G ( f ) = integraldisplay ∞-∞ g ( t ) e- j 2 πft dt = integraldisplay ∞ g ( t )( e- j 2 πft + e j 2 πft ) dt, þÚ í g ( t ) = g (- t ) = 2 integraldisplay ∞ g ( t ) cos(2 πft ) dt a Ö×eÑ g Ø eÖÖaÙÒg iÐØþeÖ G ( f ) Ðíka ÖaÙÒg iÐØa Ö×eÑ cos(2 πft ) = cos(- 2 πft ) eÖja fÒ ×ØØØþeÖ G ( f ) = G (- f ) Óg ja fÒ ×ØØØ G ( f ) = integraldisplay ∞-∞ g ( t ) e- j 2 πft dt = integraldisplay ∞ g ( t )( e- j 2 πft- e j 2 πft ) dt, þÚ í g ( t ) =- g (- t ) = 2 j integraldisplay ∞ g ( t ) sin(2 πft ) dt a Ö×eÑ g Ø eÖÖaÙÒg iÐØþeÖ G ( f ) ØÚ iÒÒ Øa Ða h éÖÒÓ Øað íÑ eÖk iÒgÙÒÒ ih Öe iÒþÚ eÖØa Ða a Ö ×eÑ sin(2 πft ) =- sin(- 2 πft ) eÖÓdd ×ØØØþeÖ G ( f ) =- G (- f ) ÓgÓdd ×ØØØ DÑ i Ñ ÐÓ ØÙbÙÒd iðÑ eÖk ig iÐd iÖað g ( t ) =- g ( t + T / 2) þaðeÖ× íða Ö ih e ÐÑ iÒgÙ ÖhÚ eÖÖa Ö ÐÓ ØÙ eÖ Ò e ikÚðú Øg faa ffÝ ÖÖ ih e ÐÑ iÒg ÐÓ ØÙÒÒa ÖýÒ iðaðþeÖ c n = 0 þ ega Ö n eÖ× ÐéØØØa Ða × j jö fÒÙ 8 íbók aÙ ×Ò :ið×k iÔ ØÙÑ Øeg Ö iÒÙ fÝ Ö iÖ c n ÙÔÔ íØÚÓh ÐÙ ØaÓgÒý ØÙÑ ÓkkÙ Ö×aÑ hÚ eÖ fÙg Ø ×eÑ eÖ ÐÓ ØÙbÙÒd iðÑ eð ÐÓ ØÙ T FÙÑ : c n = 1 T bracketleftBigg integraldisplay T / 2 g ( t ) e- j 2 πnf t dt + integraldisplay T T / 2 g ( t ) e- j 2 πnf t dt bracketrightBigg = 1 T bracketleftBigg integraldisplay T / 2 g ( t ) e- j 2 πnf t dt + integraldisplay...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

Heimadaemi_01_lausnir - A F5GF ja Ö×k iÔ ØaÚ e Ök...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online