Using the ekg simulator posted in elearning, generate 20 cycles of the ekg waveform (when displaying the original, noisy or filtered signals in time-domain, show only two or three cycles). (a) (10 points) display the original ekg signal both in time-domain and frequency-domain. (b) (10 points) add the following two noises to the original signal: - a 60 hz noise (with an amplitude of 1). - an additive white gaussian noise (awgn), i. e. independent and identically-distributed (i. i.d.) gaussian random variables with = 0 and = 2. display the noisy signal both in time-domain and frequency-domain. (c) (20 points) analyze the spectra of the original and noisy signals and design a suitable filter to extract the ekg signal from the noisy signal. display the filter’s response. display the filtered signal both in time-domain and frequencydomain.

Which best represents the law of conservation of mass ?

Two objects of different mass start from rest, are pulled by the same magnitude net force, and are moved through the same distance. the work done on object 1 is 900 j. after the force has pulled each object, object 1 moves twice as fast as object 2. how much work is done on object 2?

Assume that two of the electrons at the negative terminal have attached themselves to a nearby neutral atom. there is now a negative ion with a charge -2e at this terminal. what are the electric potential and electric potential energy of the negative ion relative to the electron? the electric potential and the electric potential energy are both twice as much. the electric potential is twice as much and the electric potential energy is the same. the electric potential is the same and the electric potential energy is twice as much. the electric potential and the electric potential energy are both the same. the electric potential is the same and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron. the electric potential is twice as much and the electric potential energy is increased by the mass ratio of the oxygen ion to the electron.