The 35-year-old took 34 wickets at an impressive average of 20.08 in eight matches last year as Essex won the County Championship First Division title.
While smartwatches are now banned on the field of play, in the nets, players will still have access to their mobile phones in the dressing room during non-televised games.
The former England opener said that making teams play only three or four games does not serve any purpose to the prestigious championship.
Slowly becoming a vital cog in India's Test setup, Vihari wanted to utilise the summer months playing County cricket in England.
Ravichandran Ashwin, a spin bowling allrounder, hopes to contribute both with the bat and ball for Yorkshire,
The wicketkeeper-batsman captained the county in both the County Championship and the One-Day Cup before being called up by Australia.
Abbott's match return of 17-86 is the best ever since Laker took 19-90 against Australia in 1956.
The India international scored 197 runs at 39.40 and took 23 wickets at 19.91 in his first stint with the Club, scoring one half-century and taking three five-wicket hauls.
The 35-year-old opener replaces Azhar Ali, who has returned to play in Pakistan.
The former England batsman injured himself during the Pakistan Super League in February.