Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

How is this transfer function algebraically deduced ?

Status
Not open for further replies.

STOIKOV

Full Member level 4
Full Member level 4
Joined
Nov 18, 2005
Messages
236
Helped
8
Reputation
16
Reaction score
2
Trophy points
1,298
Activity points
3,083
H(s) oscillatory system

how is this transfer function algebraically deduced ?

Thks.
 

v_c

Advanced Member level 2
Advanced Member level 2
Joined
Oct 11, 2005
Messages
511
Helped
113
Reputation
226
Reaction score
37
Trophy points
1,308
Location
Chicago, IL, USA
Activity points
8,224
Re: H(s) oscillatory system

The input to the gain block is
\[X=V_{in}-V_{out}\]
the output of the gain block is
\[V_{out}=H(s) X=H(s) (V_{in} - V_{out}) = H(s) V_{in} - H(s) V_{out}\]
rewriting this with \[V_{out}\] on the left and \[V_{in}\] on the right we get
\[(1 + H(s)) V_{out}= H(s) V_{in}\]
rearranging by cross multiplying gives
\[ \frac{V_{out}}{V_{in}} = \frac{H(s)}{1+H(s)}\]

I hope this helps you out.

Best regards,
v_c
 
Last edited by a moderator:

    STOIKOV

    Points: 2
    Helpful Answer Positive Rating
Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Top