VDD VDD Vref R Q n Q x

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VDD VDD Vref - + R Q n. Q x. R n. Q

VDD VDD Vref - + R Q n. Q x. R n. Q

Cascoded CM Cascoded CG amplifier Make x*ln(n) 26 Can change M 7 -M 10

Cascoded CM Cascoded CG amplifier Make x*ln(n) 26 Can change M 7 -M 10 to wide swing cascode connections to accommodate lower supply voltages.

Chapter 7 Figure 15 Polarity is wrong.

Chapter 7 Figure 15 Polarity is wrong.

Banba, Hironori, Hitoshi Shiga, Akira Umezawa, Takeshi Miyaba, Toru Tanzawa, Shigeru Atsumi, and Koji

Banba, Hironori, Hitoshi Shiga, Akira Umezawa, Takeshi Miyaba, Toru Tanzawa, Shigeru Atsumi, and Koji Sakui. "A CMOS bandgap reference circuit with sub-1 -V operation. " Solid-State Circuits, IEEE Journal of 34, no. 5 (1999): 670 -674.

Noise in time domain

Noise in time domain

d. Bm is a unit used to measure physical power relative to 1 m.

d. Bm is a unit used to measure physical power relative to 1 m. W. For exampl, if 2 V is applied to 50 , the physical power is: P= 2^2/50 W = 4*20 m. W P (d. Dm) = 10 log(P/1 m. W) = 10 log(80) = 10 log(2^3*10) = 3*3. 01 +10 =19. 03 d. Bm

For a given v(t), define: vf(t) v(t) f The power spectral density of v

For a given v(t), define: vf(t) v(t) f The power spectral density of v is: Pv(f) = power of vf(t) = power of v(t) in a one Hertz bandwidth at f The total power of v can be obtained by integrating Pv(f) over all f. Pv(f) Pv = 10*1 M + 0. 5*10*1 M = 15 M (u. V)2=15(m. V)2 10(u. V)2/Hz Area 0 1 MHz 2 MHz

If the power spectral density of vn is flat (ind of f), vn is

If the power spectral density of vn is flat (ind of f), vn is called white. vn(t) Pvn(f)

 d. Bm or d. BV 2 Slope: 10 d. B/dec log(f)

d. Bm or d. BV 2 Slope: 10 d. B/dec log(f)

1/f noise corner: the intersection of 1/f noise power spectral density and white noise

1/f noise corner: the intersection of 1/f noise power spectral density and white noise power spectral density d. Bm or d. BV 2 Slope: 10 d. B/dec 1/f noise corner log(f)

Filtered noise: Time domain spectrum

Filtered noise: Time domain spectrum

-20 d. B/dec

-20 d. B/dec

Filtered noise: Chapter 9 Figure 06 Chapter 9 Figure 07

Filtered noise: Chapter 9 Figure 06 Chapter 9 Figure 07

R 1 VDC + - R 3 R 2 Vo

R 1 VDC + - R 3 R 2 Vo